Relevant bibliographies by topics / Dixmier trace / Journal articles

Journal articles on the topic 'Dixmier trace'

To see the other types of publications on this topic, follow the link: Dixmier trace.
Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 46 journal articles for your research on the topic 'Dixmier trace.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Guichardet, Alain. "La trace de Dixmier et autres traces." L’Enseignement Mathématique 61, no. 3 (2015): 461–81. http://dx.doi.org/10.4171/lem/61-3/4-8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Bommier-Hato, Hélène, Miroslav Engliš, and El-Hassan Youssfi. "Dixmier trace and the Fock space." Bulletin des Sciences Mathématiques 138, no. 2 (March 2014): 199–224. http://dx.doi.org/10.1016/j.bulsci.2013.04.009.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Upmeier, Harald, and Kai Wang. "Dixmier trace for Toeplitz operators on symmetric domains." Journal of Functional Analysis 271, no. 3 (August 2016): 532–65. http://dx.doi.org/10.1016/j.jfa.2016.04.022.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Carey, Alan L., Adam Rennie, Aleksandr Sedaev, and Fyodor Sukochev. "The Dixmier trace and asymptotics of zeta functions." Journal of Functional Analysis 249, no. 2 (August 2007): 253–83. http://dx.doi.org/10.1016/j.jfa.2007.04.011.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

FALCONER, KENNETH, and TONY SAMUEL. "Dixmier traces and coarse multifractal analysis." Ergodic Theory and Dynamical Systems 31, no. 2 (February 2, 2010): 369–81. http://dx.doi.org/10.1017/s0143385709001102.

Full text
Abstract:
AbstractWe show how multifractal properties of a measure supported by a fractal F⊆[0,1] may be expressed in terms of complementary intervals of F and thus in terms of spectral triples and the Dixmier trace of certain operators. For self-similar measures this leads to a non-commutative integral over F equivalent to integration with respect to an auxiliary multifractal measure.
APA, Harvard, Vancouver, ISO, and other styles
6

Muhly, Paul S., and Dana P. Williams. "The Dixmier-Douady class of groupoid crossed products." Journal of the Australian Mathematical Society 76, no. 2 (April 2004): 223–34. http://dx.doi.org/10.1017/s1446788700008910.

Full text
Abstract:
AbstractWe give a formula for the Dixmier-Douady class of a continuous-trace groupoid crossed product that arises from an action of a locally trivial, proper, principal groupoid on a bundle of elementary C*-algebras that satisfies Fell's condition.
APA, Harvard, Vancouver, ISO, and other styles
7

Azamov, N., E. McDonald, F. Sukochev, and D. Zanin. "A Dixmier Trace Formula for the Density of States." Communications in Mathematical Physics 377, no. 3 (May 13, 2020): 2597–628. http://dx.doi.org/10.1007/s00220-020-03756-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Connes, A. "Trace de dixmier, modules de fredholm et geometrie riemannienne." Nuclear Physics B - Proceedings Supplements 5, no. 2 (December 1988): 65–70. http://dx.doi.org/10.1016/0920-5632(88)90369-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Engliš, Miroslav, and Genkai Zhang. "Hankel operators and the Dixmier trace on the Hardy space." Journal of the London Mathematical Society 94, no. 2 (June 10, 2016): 337–56. http://dx.doi.org/10.1112/jlms/jdw037.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Engliš, Miroslav, and Richard Rochberg. "The Dixmier trace of Hankel operators on the Bergman space." Journal of Functional Analysis 257, no. 5 (September 2009): 1445–79. http://dx.doi.org/10.1016/j.jfa.2009.05.005.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

Raeburn, Iain, and Joseph L. Taylor. "Continuous trace C*-algebras with given Dixmer-Douady class." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 38, no. 3 (June 1985): 394–407. http://dx.doi.org/10.1017/s1446788700023661.

Full text
Abstract:
AbstractWe give an explicit construction of a continuous trace C*algebra with prescribed Dixmier-Douady class, and with only finite-dimensional irreducible representations. These algebras often have non-trivial automorphisms, and we show how a recent description of the outer automorphism group of a stable continuous trace C*algebra follows easily from our main result. Since our motivation came from work on a new notion of central separable algebras, we explore the connections between this purely algebraic subject and C*a1gebras.
APA, Harvard, Vancouver, ISO, and other styles
12

Benameur, Moulay-Tahar, and Thierry Fack. "Type II non-commutative geometry. I. Dixmier trace in von Neumann algebras." Advances in Mathematics 199, no. 1 (January 2006): 29–87. http://dx.doi.org/10.1016/j.aim.2004.11.001.

Full text
APA, Harvard, Vancouver, ISO, and other styles
13

AMINI, MASSOUD, MOHAMMAD B. ASADI, GEORGE A. ELLIOTT, and FATEMEH KHOSRAVI. "FRAMES IN HILBERT C*-MODULES AND MORITA EQUIVALENT C*-ALGEBRAS." Glasgow Mathematical Journal 59, no. 1 (August 3, 2016): 1–10. http://dx.doi.org/10.1017/s0017089516000355.

Full text
Abstract:
AbstractWe show that the property of a C*-algebra that all its Hilbert modules have a frame, in the case of σ-unital C*-algebras, is preserved under Rieffel–Morita equivalence. In particular, we show that a σ-unital continuous-trace C*-algebra with trivial Dixmier–Douady class, all of whose Hilbert modules admit a frame, has discrete spectrum. We also show this for the tensor product of any commutative C*-algebra with the C*-algebra of compact operators on any Hilbert space.
APA, Harvard, Vancouver, ISO, and other styles
14

PACKER, JUDITH A. "CROSSED PRODUCT C*-ALGEBRAS AND ALGEBRAIC TOPOLOGY." Reviews in Mathematical Physics 08, no. 04 (May 1996): 623–37. http://dx.doi.org/10.1142/s0129055x96000202.

Full text
Abstract:
We discuss some recent developments that illustrate the interplay between the theory of crossed products of continuous trace C*-algebras and algebraic topology, summarizing results relating topological invariants coming from the theory of fiber bundles to continuous trace C*-algebras and their automorphism groups and the structure of the associated crossed product C*-algebras. This survey article starts from the classical theory of Dixmier, Douady, and Fell, and discusses the more recent work of Echterhoff, Phillips, Raeburn, Rosenberg, and Williams, among others. The topological invariants involved are Čech cohomology, the cohomology of locally compact groups with Borel cochains of C. Moore, and the recently introduced equivariant cohomology theory of Crocker, Kumjian, Raeburn and Williams.
APA, Harvard, Vancouver, ISO, and other styles
15

Raeburn, Iain, and Dana P. Williams. "Dixmier-Douady Classes of Dynamical Systems and Crossed Products." Canadian Journal of Mathematics 45, no. 5 (October 1, 1993): 1032–66. http://dx.doi.org/10.4153/cjm-1993-057-8.

Full text
Abstract:
AbstractContinuous-trace C*-algebras A with spectrum T can be characterized as those algebras which are locally Monta equivalent to C0(T). The Dixmier-Douady class δ(A) is an element of the Čech cohomology group Ȟ3(T, ℤ) and is the obstruction to building a global equivalence from the local equivalences. Here we shall be concerned with systems (A, G, α) which are locally Monta equivalent to their spectral system (C0(T),G, τ), in which G acts on the spectrum T of A via the action induced by α. Such systems include locally unitary actions as well as N-principal systems. Our new Dixmier-Douady class δ (A, G, α) will be the obstruction to piecing the local equivalences together to form a Monta equivalence of (A, G, α) with its spectral system. Our first main theorem is that two systems (A, G, α) and (B, G, β) are Monta equivalent if and only if δ (A, G, α) = δ (B, G, β). In our second main theorem, we give a detailed formula for δ (A ⋊α G) when (A, G, α) is N-principal.
APA, Harvard, Vancouver, ISO, and other styles
16

cardona, duvan, and Cesar del corral. "The dixmier trace and Wodzicki residue for global pseudo-differential operators on compact maniolds." Revista Integración 38, no. 1 (January 27, 2020): 67–79. http://dx.doi.org/10.18273/revanu.v38n1-2020006.

Full text
APA, Harvard, Vancouver, ISO, and other styles
17

LAI, ALAN. "ON THE JLO COCYCLE AND ITS TRANSGRESSION IN ENTIRE CYCLIC COHOMOLOGY." International Journal of Geometric Methods in Modern Physics 10, no. 07 (June 10, 2013): 1350037. http://dx.doi.org/10.1142/s0219887813500370.

Full text
Abstract:
The JLO character formula due to Jaffe–Lesniewski–Osterwalder [Quantum K-theory: the Chern character, Commun. Math. Phys.112 (1988) 75–88] assigns to each Fredholm module a cocycle in entire cyclic cohomology. It descends to define a cohomological Chern character on K-homology. This paper extends the definition of the JLO character formula for Breuer–Fredholm modules, the modules that represent type II noncommutative geometry; and shows that the JLO character formula coincides with the Connes character formula [see M. Benameur and T. Fack, Type II noncommutative geometry. I. Dixmier trace in von Neumann algebras, Adv. Math.199 (2006) 29–87] at the level of entire cyclic cohomology.
APA, Harvard, Vancouver, ISO, and other styles
18

Pop, Florin. "Singular extensions of the trace and the relative Dixmier property in the type $II_1$ factors." Proceedings of the American Mathematical Society 126, no. 10 (1998): 2987–92. http://dx.doi.org/10.1090/s0002-9939-98-04401-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
19

Christensen, Erik, and Cristina Ivan. "Sums of two-dimensional spectral triples." MATHEMATICA SCANDINAVICA 100, no. 1 (March 1, 2007): 35. http://dx.doi.org/10.7146/math.scand.a-15015.

Full text
Abstract:
We study countable sums of two-dimensional modules for the continuous complex functions on a compact metric space and show that it is possible to construct a spectral triple which gives the original metric back. This spectral triple will be finitely summable for any positive parameter. We also construct a sum of two-dimensional modules which reflects some aspects of the topological dimensions of the compact metric space, but this will only give the metric back approximately. At the end we make an explicit computation of the last module for the unit interval in $\mathsf R$. The metric is recovered exactly, the Dixmier trace induces a multiple of the Lebesgue integral and the growth of the number of eigenvalues $N(\Lambda)$ bounded by $\Lambda$ behaves, such that $N(\Lambda)/\Lambda$ is bounded, but without limit for $\Lambda\to \infty$.
APA, Harvard, Vancouver, ISO, and other styles
20

Mignaco, J. A., C. Sigaud, F. J. Vanhecke, and A. R. Da Silva. "The Connes–Lott Program on the Sphere." Reviews in Mathematical Physics 09, no. 06 (August 1997): 689–717. http://dx.doi.org/10.1142/s0129055x97000257.

Full text
Abstract:
We describe a classical Schwinger-type model as a study of the projective modules over the algebra of complex-valued functions on the sphere. On these modules, classified by π2(S2), we construct hermitian connections with values in the universal differential envelope. Instead of describing matter by the usual Dirac spinors yielding the standard Schwinger model on the sphere, we apply the Connes–Lott program to the Hilbert space of complexified inhomogeneous forms with its Atiyah–Kähler structure. This Hilbert space splits in two minimal left ideals of the Clifford algebra preserved by the Dirac–Kähler operator D=i(d-δ). The induced representation of the universal differential envelope, in order to recover its differential structure, is divided by the unwanted differential ideal and the obtained quotient is the usual complexified de Rham exterior algebra with Clifford action on the "spinors" of the Hilbert space. The subsequent steps of the Connes–Lott program allow to define a matter action, and the field action is obtained using the Dixmier trace which reduces to the integral of the curvature squared.
APA, Harvard, Vancouver, ISO, and other styles
21

Pietsch, Albrecht. "Connes–Dixmier Versus Dixmier Traces." Integral Equations and Operator Theory 77, no. 2 (April 27, 2013): 243–59. http://dx.doi.org/10.1007/s00020-013-2056-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
22

Carey, Alan, John Phillips, and Fyodor Sukochev. "Spectral flow and Dixmier traces." Advances in Mathematics 173, no. 1 (January 2003): 68–113. http://dx.doi.org/10.1016/s0001-8708(02)00015-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
23

Sukochev, Fedor, Alexandr Usachev, and Dmitriy Zanin. "On the distinction between the classes of Dixmier and Connes-Dixmier traces." Proceedings of the American Mathematical Society 141, no. 6 (December 28, 2012): 2169–79. http://dx.doi.org/10.1090/s0002-9939-2012-11853-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
24

Sukochev, Fedor, and Alexandr Usachev. "Dixmier traces and non-commutative analysis." Journal of Geometry and Physics 105 (July 2016): 102–22. http://dx.doi.org/10.1016/j.geomphys.2016.03.010.

Full text
APA, Harvard, Vancouver, ISO, and other styles
25

Sedaev, A. A., F. A. Sukochev, and D. V. Zanin. "Lidskii-Type Formulae for Dixmier Traces." Integral Equations and Operator Theory 68, no. 4 (September 8, 2010): 551–72. http://dx.doi.org/10.1007/s00020-010-1828-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
26

Gayral, Victor, Bruno Iochum, and Joseph C. Várilly. "Dixmier traces on noncompact isospectral deformations." Journal of Functional Analysis 237, no. 2 (August 2006): 507–39. http://dx.doi.org/10.1016/j.jfa.2006.02.010.

Full text
APA, Harvard, Vancouver, ISO, and other styles
27

Cardona, Duván, César del Corral, and Vishvesh Kumar. "Dixmier traces for discrete pseudo-differential operators." Journal of Pseudo-Differential Operators and Applications 11, no. 2 (April 8, 2020): 647–56. http://dx.doi.org/10.1007/s11868-020-00335-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
28

Azamov, Nurulla A., and Fyodor A. Sukochev. "A Lidskii type formula for Dixmier traces." Comptes Rendus Mathematique 340, no. 2 (January 2005): 107–12. http://dx.doi.org/10.1016/j.crma.2004.12.005.

Full text
APA, Harvard, Vancouver, ISO, and other styles
29

Lord, Steven, Denis Potapov, and Fedor Sukochev. "Measures from Dixmier traces and zeta functions." Journal of Functional Analysis 259, no. 8 (October 2010): 1915–49. http://dx.doi.org/10.1016/j.jfa.2010.06.012.

Full text
APA, Harvard, Vancouver, ISO, and other styles
30

Sukochev, Fedor, Alexandr Usachev, and Dmitriy Zanin. "Dixmier traces generated by exponentiation invariant generalised limits." Journal of Noncommutative Geometry 8, no. 2 (2014): 321–36. http://dx.doi.org/10.4171/jncg/158.

Full text
APA, Harvard, Vancouver, ISO, and other styles
31

Goffeng, Magnus, and Alexandr Usachev. "Dixmier traces and residues on weak operator ideals." Journal of Mathematical Analysis and Applications 488, no. 2 (August 2020): 124045. http://dx.doi.org/10.1016/j.jmaa.2020.124045.

Full text
APA, Harvard, Vancouver, ISO, and other styles
32

Carey, A. L., and F. A. Sukochev. "Dixmier traces and some applications in non-commutative geometry." Russian Mathematical Surveys 61, no. 6 (December 31, 2006): 1039–99. http://dx.doi.org/10.1070/rm2006v061n06abeh004369.

Full text
APA, Harvard, Vancouver, ISO, and other styles
33

Pietsch, Albrecht. "Dixmier traces of operators on Banach and Hilbert spaces." Mathematische Nachrichten 285, no. 16 (June 4, 2012): 1999–2028. http://dx.doi.org/10.1002/mana.201100137.

Full text
APA, Harvard, Vancouver, ISO, and other styles
34

Ismagilov, R. S. "Representations Connected with Dixmier Traces and Spaces of Distributions." Acta Applicandae Mathematicae 81, no. 1 (March 2004): 121–27. http://dx.doi.org/10.1023/b:acap.0000024197.09291.3b.

Full text
APA, Harvard, Vancouver, ISO, and other styles
35

Gayral, Victor, and Fedor Sukochev. "Dixmier traces and extrapolation description of noncommutative Lorentz spaces." Journal of Functional Analysis 266, no. 10 (May 2014): 6256–317. http://dx.doi.org/10.1016/j.jfa.2014.02.036.

Full text
APA, Harvard, Vancouver, ISO, and other styles
36

Goffeng, Magnus, and Alexandr Usachev. "Estimating Dixmier traces of Hankel operators in Lorentz ideals." Journal of Functional Analysis 279, no. 7 (October 2020): 108688. http://dx.doi.org/10.1016/j.jfa.2020.108688.

Full text
APA, Harvard, Vancouver, ISO, and other styles
37

Nest, Ryszard, and Elmar Schrohe. "Dixmier's trace for boundary value problems." manuscripta mathematica 96, no. 2 (June 1, 1998): 203–18. http://dx.doi.org/10.1007/s002290050062.

Full text
APA, Harvard, Vancouver, ISO, and other styles
38

Sukochev, F., and D. Zanin. "Dixmier traces are weak ⁎ dense in the set of all fully symmetric traces." Journal of Functional Analysis 266, no. 10 (May 2014): 6158–73. http://dx.doi.org/10.1016/j.jfa.2014.03.001.

Full text
APA, Harvard, Vancouver, ISO, and other styles
39

Kalton, N. J., A. A. Sedaev, and F. A. Sukochev. "Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces." Advances in Mathematics 226, no. 4 (March 2011): 3540–49. http://dx.doi.org/10.1016/j.aim.2010.09.025.

Full text
APA, Harvard, Vancouver, ISO, and other styles
40

Lord, Steven, Aleksandr Sedaev, and Fyodor Sukochev. "Dixmier traces as singular symmetric functionals and applications to measurable operators." Journal of Functional Analysis 224, no. 1 (July 2005): 72–106. http://dx.doi.org/10.1016/j.jfa.2005.01.002.

Full text
APA, Harvard, Vancouver, ISO, and other styles
41

Lord, S., A. A. Sedaev, and F. A. Sukochev. "Connes-Dixmier Traces, Singular Symmetric Functionals, and the Notion of Connes Measurable Element." Mathematical Notes 77, no. 5-6 (May 2005): 671–76. http://dx.doi.org/10.1007/s11006-005-0067-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
42

Lord, S., A. A. Sedaev, and F. A. Sukochev. "Connes--Dixmier Traces, Singular Symmetric Functionals, and Measurable Elements in the Sense of Connes." Mathematical Notes 76, no. 5/6 (November 2004): 884–89. http://dx.doi.org/10.1023/b:matn.0000049689.71141.8b.

Full text
APA, Harvard, Vancouver, ISO, and other styles
43

Engliš, Miroslav, Kunyu Guo, and Genkai Zhang. "Toeplitz and Hankel operators and Dixmier traces on the unit ball of $\mathbb C^n$." Proceedings of the American Mathematical Society 137, no. 11 (November 1, 2009): 3669. http://dx.doi.org/10.1090/s0002-9939-09-09331-9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
44

GIMPERLEIN, HEIKO, and MAGNUS GOFFENG. "NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS." Forum of Mathematics, Sigma 5 (2017). http://dx.doi.org/10.1017/fms.2016.33.

Full text
Abstract:
We consider the spectral behavior and noncommutative geometry of commutators$[P,f]$, where$P$is an operator of order 0 with geometric origin and$f$a multiplication operator by a function. When$f$is Hölder continuous, the spectral asymptotics is governed by singularities. We study precise spectral asymptotics through the computation of Dixmier traces; such computations have only been considered in less singular settings. Even though a Weyl law fails for these operators, and no pseudodifferential calculus is available, variations of Connes’ residue trace theorem and related integral formulas continue to hold. On the circle, a large class of nonmeasurable Hankel operators is obtained from Hölder continuous functions$f$, displaying a wide range of nonclassical spectral asymptotics beyond the Weyl law. The results extend from Riemannian manifolds to contact manifolds and noncommutative tori.
APA, Harvard, Vancouver, ISO, and other styles
45

Jiang, Liangying, Yi Wang, and Jingbo Xia. "Toeplitz Operators Associated with Measures and the Dixmier Trace on the Hardy Space." Complex Analysis and Operator Theory 14, no. 2 (February 20, 2020). http://dx.doi.org/10.1007/s11785-020-00988-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
46

Pietsch, Albrecht. "A New View at Dixmier Traces on $$\mathfrak {L}_{1,\infty } (H)$$ L 1 , ∞ ( H )." Integral Equations and Operator Theory 91, no. 3 (April 15, 2019). http://dx.doi.org/10.1007/s00020-019-2509-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography