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Journal articles on the topic 'K-theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 31 July 2024

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1

Ausoni, Christian, and John Rognes. "Algebraic K-theory of topological K-theory." Acta Mathematica 188, no. 1 (2002): 1–39. http://dx.doi.org/10.1007/bf02392794.

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2

Mitchell, Stephen A. "Topological K-Theory of Algebraic K-Theory Spectra." K-Theory 21, no. 3 (November 2000): 229–47. http://dx.doi.org/10.1023/a:1026580718473.

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3

Felisatti, Marcello. "Multiplicative K-theory and K-theory of Functors." Mediterranean Journal of Mathematics 5, no. 4 (December 2008): 493–99. http://dx.doi.org/10.1007/s00009-008-0163-0.

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4

Bouwknegt, Peter, Alan L. Carey, Varghese Mathai, Michael K. Murray, and Danny Stevenson. "Twisted K-Theory and K-Theory of Bundle Gerbes." Communications in Mathematical Physics 228, no. 1 (June 1, 2002): 17–49. http://dx.doi.org/10.1007/s002200200646.

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5

Loday, Jean-Louis. "Algebraic K-Theory and the Conjectural Leibniz K-Theory." K-Theory 30, no. 2 (October 2003): 105–27. http://dx.doi.org/10.1023/b:kthe.0000018382.90150.ce.

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6

Kobal, Damjan. "K-Theory, Hermitian K-Theory and the Karoubi Tower." K-Theory 17, no. 2 (June 1999): 113–40. http://dx.doi.org/10.1023/a:1007799508729.

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7

Charles Jones, Kevin, Youngsoo Kim, Andrea H. Mhoon, Rekha Santhanam, Barry J. Walker, and Daniel R. Grayson. "The Additivity Theorem in K-Theory." K-Theory 32, no. 2 (June 2004): 181–91. http://dx.doi.org/10.1023/b:kthe.0000037546.39459.cb.

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8

Coutinho, Severino Collier, and Hvedri Inassaridze. "Algebraic K-Theory." Mathematical Gazette 81, no. 490 (March 1997): 167. http://dx.doi.org/10.2307/3618817.

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9

Geisser, Thomas, Lars Hesselholt, Annette Huber-Klawitter, and Moritz Kerz. "Algebraic K-theory." Oberwolfach Reports 16, no. 2 (June 3, 2020): 1737–90. http://dx.doi.org/10.4171/owr/2019/29.

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10

Chowdhry, Maya. "k/not theory." Journal of Lesbian Studies 4, no. 4 (December 2000): 59–70. http://dx.doi.org/10.1300/j155v04n04_05.

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11

Cortiñas, Guillermo. "Infinitesimal K-theory." Journal für die reine und angewandte Mathematik (Crelles Journal) 1998, no. 503 (October 1, 1998): 129–60. http://dx.doi.org/10.1515/crll.1998.094.

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12

Ranicki, Andrew, and Masayuki Yamasaki. "Controlled K-theory." Topology and its Applications 61, no. 1 (January 1995): 1–59. http://dx.doi.org/10.1016/0166-8641(94)00017-w.

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13

Anderson, Dave, and Sam Payne. "Operational $K$-theory." Documenta Mathematica 20 (2015): 357–99. http://dx.doi.org/10.4171/dm/493.

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14

Suslin, A. A. "Algebraic K-theory." Journal of Soviet Mathematics 28, no. 6 (March 1985): 870–923. http://dx.doi.org/10.1007/bf02105457.

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15

Geisser, Thomas, Lars Hesselholt, Annette Huber-Klawitter, and Moritz Kerz. "Algebraic K-Theory." Oberwolfach Reports 19, no. 2 (April 13, 2023): 1313–76. http://dx.doi.org/10.4171/owr/2022/24.

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16

Nizioł, Wiesława. "K-theory of log-schemes II: Log-syntomic K-theory." Advances in Mathematics 230, no. 4-6 (July 2012): 1646–72. http://dx.doi.org/10.1016/j.aim.2012.03.004.

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17

Giffen, Charles H. "The relation of quadratic k-theory to hermitian k:-Theory." Communications in Algebra 15, no. 5 (January 1987): 971–84. http://dx.doi.org/10.1080/00927878708823452.

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18

Quinn, Frank. "Controlled K-theory I: Basic Theory." Pure and Applied Mathematics Quarterly 8, no. 2 (2012): 329–422. http://dx.doi.org/10.4310/pamq.2012.v8.n2.a2.

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19

Freed, D. S. "K-theory in quantum field theory." Current Developments in Mathematics 2001, no. 1 (2001): 41–887. http://dx.doi.org/10.4310/cdm.2001.v2001.n1.a2.

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20

Gillet, Henri. "K-theory and intersection theory revisited." K-Theory 1, no. 4 (July 1987): 405–15. http://dx.doi.org/10.1007/bf00539625.

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21

Ausoni, Christian. "On the algebraic K-theory of the complex K-theory spectrum." Inventiones mathematicae 180, no. 3 (March 17, 2010): 611–68. http://dx.doi.org/10.1007/s00222-010-0239-x.

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22

Keune, Frans. "Multirelative $K$-theory and axioms for the $K$-theory of rings." Documenta Mathematica 1 (1996): 277–91. http://dx.doi.org/10.4171/dm/14.

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23

Karoubi, Max. "A Descent Theorem in Topological K-Theory." K-Theory 24, no. 2 (October 2001): 109–14. http://dx.doi.org/10.1023/a:1012785711074.

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24

TALBI, Mohamed Elamine. "The density theorem for hermitian K-theory." TURKISH JOURNAL OF MATHEMATICS 42, no. 5 (September 9, 2018): 2380–88. http://dx.doi.org/10.3906/mat-1610-40.

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25

Snaith, Victor. "A Descent Theorem for Hermitian K-Theory." Canadian Journal of Mathematics 39, no. 4 (August 1, 1987): 835–47. http://dx.doi.org/10.4153/cjm-1987-041-5.

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Let KO and KU respectively denote the real and complex periodic K-theory spectra [1, Part III]. Let KSC denote the spectrum representing self-conjugate K-theory [2, G]. Thus we have a fibring1.1where T is induced by complex conjugation on the unitary group.The following result is due to R. Wood [1, p. 206] and, I believe, to D. W. Anderson.1.2. PROPOSITION. Let generate the stable one-stem. Then there are weak equivalences of spectraa andb

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26

Benameur, Moulay-Tahar. "A Longitudinal Lefschetz Theorem in K-Theory." K-Theory 12, no. 3 (October 1997): 227–57. http://dx.doi.org/10.1023/a:1007747731149.

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27

Grayson, Daniel R. "The additivity theorem in algebraic $K$-theory." Documenta Mathematica 16 (2011): 457–64. http://dx.doi.org/10.4171/dm/338.

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28

Takeda, Yuichiro. "Localization theorem in equivariant algebraic K-theory." Journal of Pure and Applied Algebra 96, no. 1 (September 1994): 73–80. http://dx.doi.org/10.1016/0022-4049(94)90088-4.

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29

Tang, Shun. "Localization theorem for higher arithmetic K-theory." Mathematische Zeitschrift 290, no. 1-2 (January 3, 2018): 307–46. http://dx.doi.org/10.1007/s00209-017-2019-4.

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30

Yao, D. Y. "A Devissage Theorem in Waldhausen K-Theory." Journal of Algebra 176, no. 3 (September 1995): 755–61. http://dx.doi.org/10.1006/jabr.1995.1271.

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31

Antieau, Benjamin, David Gepner, and José Manuel Gómez. "Actions of $K(\pi ,n)$ spaces on $K$-theory and uniqueness of twisted $K$-theory." Transactions of the American Mathematical Society 366, no. 7 (March 14, 2014): 3631–48. http://dx.doi.org/10.1090/s0002-9947-2014-05937-0.

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32

Schwede, Stefan. "Global algebraic K‐theory." Journal of Topology 15, no. 3 (July 2, 2022): 1325–454. http://dx.doi.org/10.1112/topo.12241.

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33

Bunke, Ulrich, and Thomas Schick. "Differential orbifold K-theory." Journal of Noncommutative Geometry 7, no. 4 (2013): 1027–104. http://dx.doi.org/10.4171/jncg/143.

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34

Svensson, Jan-alve. "Lower equivariant $K$-theory." MATHEMATICA SCANDINAVICA 60 (December 1, 1987): 179. http://dx.doi.org/10.7146/math.scand.a-12179.

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35

Park, Byungdo, Arthur J. Parzygnat, Corbett Redden, and Augusto Stoffel. "Noncommutative differential K-theory." Journal of Geometry and Physics 174 (April 2022): 104446. http://dx.doi.org/10.1016/j.geomphys.2021.104446.

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36

Zakharevich, Inna. "Attitudes of $K$-theory." Notices of the American Mathematical Society 66, no. 07 (August 1, 2019): 1. http://dx.doi.org/10.1090/noti1908.

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37

Emerson, Heath, and Ralf Meyer. "Equivariant representable K-theory." Journal of Topology 2, no. 1 (2009): 123–56. http://dx.doi.org/10.1112/jtopol/jtp003.

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38

ARLETTAZ, DOMINIQUE, and HVEDRI INASSARIDZE. "Finite K-theory spaces." Mathematical Proceedings of the Cambridge Philosophical Society 139, no. 02 (September 5, 2005): 261. http://dx.doi.org/10.1017/s0305004105008534.

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39

Dai, Shouxin, and Marc Levine. "Connective Algebraic K-theory." Journal of K-Theory 13, no. 1 (January 2, 2014): 9–56. http://dx.doi.org/10.1017/is013012007jkt249.

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Abstract:

AbstractWe examine the theory of connective algebraic K-theory, , defined by taking the −1 connective cover of algebraic K-theory with respect to Voevodsky's slice tower in the motivic stable homotopy category. We extend to a bi-graded oriented duality theory when the base scheme is the spectrum of a field k of characteristic zero. The homology theory may be viewed as connective algebraic G-theory. We identify for X a finite type k-scheme with the image of in , where is the abelian category of coherent sheaves on X with support in dimension at most n; this agrees with the (2n,n) part of the theory of connective algebraic K-theory defined by Cai. We also show that the classifying map from algebraic cobordism identifies with the universal oriented Borel-Moore homology theory having formal group law u + υ − βuυ with coefficient ring ℤ[β]. As an application, we show that every pure dimension d finite type k-scheme has a well-defined fundamental class [X]CK in ΩdCK(X), and this fundamental class is functorial with respect to pull-back for l.c.i. morphisms.

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40

Adem, Alejandro, and Yongbin Ruan. "Twisted Orbifold K-Theory." Communications in Mathematical Physics 237, no. 3 (June 2003): 533–56. http://dx.doi.org/10.1007/s00220-003-0849-x.

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41

Tradler, Thomas, Scott Wilson, and Mahmoud Zeinalian. "Loop differential K-theory." Annales mathématiques Blaise Pascal 22, no. 1 (2015): 121–63. http://dx.doi.org/10.5802/ambp.348.

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42

Takeda, Yuichiro. "Higher arithmetic $K$-theory." Publications of the Research Institute for Mathematical Sciences 41, no. 3 (2005): 599–681. http://dx.doi.org/10.2977/prims/1145475225.

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43

Mickelsson, Jouko. "Twisted K Theory Invariants." Letters in Mathematical Physics 71, no. 2 (February 2005): 109–21. http://dx.doi.org/10.1007/s11005-004-6028-y.

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44

Špakula, Ján. "Uniform K-homology theory." Journal of Functional Analysis 257, no. 1 (July 2009): 88–121. http://dx.doi.org/10.1016/j.jfa.2009.02.008.

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45

Johnson, Niles, and Donald Yau. "Multifunctorial inverse K-theory." Annals of K-Theory 7, no. 3 (December 19, 2022): 507–48. http://dx.doi.org/10.2140/akt.2022.7.507.

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46

Gomi, Kiyonori. "Freed–Moore $K$-theory." Communications in Analysis and Geometry 31, no. 4 (2023): 979–1067. http://dx.doi.org/10.4310/cag.2023.v31.n4.a7.

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47

Blumberg, Andrew J., and Michael A. Mandell. "The localization sequence for the algebraic K-theory of topological K-theory." Acta Mathematica 200, no. 2 (2008): 155–79. http://dx.doi.org/10.1007/s11511-008-0025-4.

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48

Ara, Pere, Roozbeh Hazrat, and Huanhuan Li. "Graded K-theory, filtered K-theory and the classification of graph algebras." Annals of K-Theory 7, no. 4 (December 31, 2022): 731–95. http://dx.doi.org/10.2140/akt.2022.7.731.

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49

Sati, Hisham, and Craig Westerland. "Twisted Morava K-theory and E-theory." Journal of Topology 8, no. 4 (July 27, 2015): 887–916. http://dx.doi.org/10.1112/jtopol/jtv020.

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50

Blumberg, Andrew J., and Michael A. Mandell. "Algebraic K-theory and abstract homotopy theory." Advances in Mathematics 226, no. 4 (March 2011): 3760–812. http://dx.doi.org/10.1016/j.aim.2010.11.002.

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