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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as $K$-theory. Papers on this page are organised in collections from 19- through 19M, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

19-xx: $K$-theory 19Axx: Grothendieck groups and $K_0$ 19Bxx: Whitehead groups and $K_1$ 19Cxx: Steinberg groups and $K_2$ 19Dxx: Higher algebraic $K$-theory 19Exx: $K$-theory in geometry 19Fxx: $K$-theory in number theory 19Gxx: $K$-theory of forms 19Jxx: Obstructions from topology 19Kxx: $K$-theory and operator algebras 19Lxx: Topological $K$-theory 19Mxx: Miscellaneous applications of $K$-theory

$K$-theory (19-XX)

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Grothendieck groups and $K_0$ (19Axx)

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Article
Trivial source character tables of $\operatorname{SL}_2(q)$, part II
Niamh Farrell, Caroline Lassueur
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 3

Article
McKay matrices for finite-dimensional Hopf algebras
Georgia Benkart, Rekha Biswal, Ellen Kirkman, Van C. Nguyen, Jieru Zhu
Canadian Journal of Mathematics, Volume 74, Issue 3

Article
ANNIHILATOR-STABILITY AND TWO QUESTIONS OF NICHOLSON
GUOLI XIA, YIQIANG ZHOU
Glasgow Mathematical Journal, Volume 63, Issue 2

Article
GLOBAL ACTIONS AND VECTOR $K$-THEORY
ANTHONY BAK, ANURADHA S. GARGE
Forum of Mathematics, Sigma, Volume 8

Article
TOWARDS A NON-ARCHIMEDEAN ANALYTIC ANALOG OF THE BASS–QUILLEN CONJECTURE
Moritz Kerz, Shuji Saito, Georg Tamme
Journal of the Institute of Mathematics of Jussieu, Volume 19, Issue 6

Article
Factorizations in Bounded Hereditary Noetherian Prime Rings
Daniel Smertnig
Proceedings of the Edinburgh Mathematical Society, Volume 62, Issue 2

Article
Rational Cup Product and Algebraic K0-Groups of Rings of Continuous Functions
Hiroshi Kihara, Nobuyuki Oda
Proceedings of the Edinburgh Mathematical Society, Volume 61, Issue 3

Article
Rings of Polynomials With Artinian Coefficients
F. E. A. Johnson
Proceedings of the Edinburgh Mathematical Society, Volume 60, Issue 4

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Whitehead groups and $K_1$ (19Bxx)

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Article
A NONCOMMUTATIVE ANALOGUE OF CLAUSEN’S VIEW ON THE IDÈLE CLASS GROUP
Oliver Braunling, Ruben Henrard, Adam-Christiaan van Roosmalen
Journal of the Institute of Mathematics of Jussieu, Volume 23, Issue 6

Article
Corrigendum: A certain structure of Artin groups and the isomorphism conjecture
S.K. Roushon
Canadian Journal of Mathematics, Volume 76, Issue 2

Article
A cancellation theorem for modules over integral group rings
JOHN NICHOLSON
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 171, Issue 2

Article
A certain structure of Artin groups and the isomorphism conjecture
S.K. Roushon
Canadian Journal of Mathematics, Volume 73, Issue 4

Article
Stability in the high-dimensional cohomology of congruence subgroups
Jeremy Miller, Rohit Nagpal, Peter Patzt
Compositio Mathematica, Volume 156, Issue 4

Article
GLOBAL ACTIONS AND VECTOR $K$-THEORY
ANTHONY BAK, ANURADHA S. GARGE
Forum of Mathematics, Sigma, Volume 8

Article
HIGHER ORDER CONGRUENCES AMONGST HASSE–WEIL $L$-VALUES
DANIEL DELBOURGO, LLOYD PETERS
Journal of the Australian Mathematical Society, Volume 98, Issue 1

Article
QUASI MULTIPLICATION AND $K$-GROUPS
TSIU-KWEN LEE, ALBERT JEU-LIANG SHEU
Journal of the Australian Mathematical Society, Volume 94, Issue 2

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Steinberg groups and $K_2$ (19Cxx)

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Article
SIMPLE TYPE THEORY FOR METAPLECTIC COVERS OF $\operatorname {GL}(r)$ OVER A NON-ARCHIMEDEAN LOCAL FIELD
Jiandi Zou
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 4

Article
The abelianization of the elementary group of rank two
Behrooz Mirzaii, Elvis Torres Pérez
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 2

Article
GLOBAL ACTIONS AND VECTOR $K$-THEORY
ANTHONY BAK, ANURADHA S. GARGE
Forum of Mathematics, Sigma, Volume 8

Article
IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS
Louis Funar, Wolfgang Pitsch
Journal of the Institute of Mathematics of Jussieu, Volume 17, Issue 2

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Higher algebraic $K$-theory (19Dxx)

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Article
An analogue of the Milnor conjecture for the de Rham-Witt complex in characteristic 2
Emanuele Dotto
Forum of Mathematics, Sigma, Volume 13

Article
ASYMPTOTIC DIMENSION AND GEOMETRIC DECOMPOSITIONS IN DIMENSIONS 3 AND 4
H. CONTRERAS PERUYERO, P. SUÁREZ-SERRATO
Journal of the Australian Mathematical Society, Volume 119, Issue 2

Article
Stable homology of Lie algebras of derivations and homotopy invariants of wheeled operads
Vladimir Dotsenko
Compositio Mathematica, Volume 161, Issue 4

Article
Ample Groupoids, Topological Full groups, Algebraic K-theory Spectra and Infinite Loop Spaces
Xin Li
Forum of Mathematics, Pi, Volume 13

Article
Vanishing of Nil-terms and negative K-theory for additive categories
Arthur Bartels, Wolfgang Lueck
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 6

Article
Tachikawa's second conjecture, derived recollements, and gendo-symmetric algebras
Hongxing Chen, Ming Fang, Changchang Xi
Compositio Mathematica, Volume 160, Issue 11

Article
Higher semiadditive algebraic K-theory and redshift
Shay Ben-Moshe, Tomer M. Schlank
Compositio Mathematica, Volume 160, Issue 2

Article
On distributivity in higher algebra I: the universal property of bispans
Elden Elmanto, Rune Haugseng
Compositio Mathematica, Volume 159, Issue 11

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$K$-theory in geometry (19Exx)

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Article
Quasi-BPS categories for symmetric quivers with potential
Tudor Pădurariu, Yukinobu Toda
Compositio Mathematica, Volume 161, Issue 8

Article
TORSION BIRATIONAL MOTIVES OF SURFACES AND UNRAMIFIED COHOMOLOGY
Kanetomo Sato, Takao Yamazaki
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 6

Article
Eisenstein cocycles in motivic cohomology
Romyar Sharifi, Akshay Venkatesh
Compositio Mathematica, Volume 160, Issue 10

Article
Boundedness of the p-primary torsion of the Brauer group of an abelian variety
Marco D'Addezio
Compositio Mathematica, Volume 160, Issue 2

Article
Categorical and K-theoretic Donaldson–Thomas theory of $\mathbb {C}^3$ (part II)
Tudor Pădurariu, Yukinobu Toda
Forum of Mathematics, Sigma, Volume 11

Article
On distributivity in higher algebra I: the universal property of bispans
Elden Elmanto, Rune Haugseng
Compositio Mathematica, Volume 159, Issue 11

Article
Homological Bondal-Orlov localization conjecture for rational singularities
Mirko Mauri, Evgeny Shinder
Forum of Mathematics, Sigma, Volume 11

Article
The complexity of higher Chow groups
Genival Da Silva, Jr, James D. Lewis
Canadian Mathematical Bulletin, Volume 66, Issue 3

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$K$-theory in number theory (19Fxx)

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Article
A NONCOMMUTATIVE ANALOGUE OF CLAUSEN’S VIEW ON THE IDÈLE CLASS GROUP
Oliver Braunling, Ruben Henrard, Adam-Christiaan van Roosmalen
Journal of the Institute of Mathematics of Jussieu, Volume 23, Issue 6

Article
SPECIAL VALUES OF ZETA-FUNCTIONS OF REGULAR SCHEMES
Stephen Lichtenbaum
Journal of the Institute of Mathematics of Jussieu, Volume 23, Issue 1

Article
VALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT $s=1$
Stephen Lichtenbaum, Niranjan Ramachandran
Journal of the Institute of Mathematics of Jussieu, Volume 22, Issue 5

Article
Hyperbolic tessellations and generators of ${K}_{\textbf {3}}$ for imaginary quadratic fields
David Burns, Rob de Jeu, Herbert Gangl, Alexander D. Rahm, Dan Yasaki
Forum of Mathematics, Sigma, Volume 9

Article
RECIPROCITY SHEAVES AND THEIR RAMIFICATION FILTRATIONS
Kay Rülling, Shuji Saito
Journal of the Institute of Mathematics of Jussieu, Volume 22, Issue 1

Article
TOPOLOGIES ON SCHEMES AND MODULUS PAIRS
BRUNO KAHN, HIROYASU MIYAZAKI
Nagoya Mathematical Journal, Volume 244

Article
RIGIDITY FOR RIGID ANALYTIC MOTIVES
Federico Bambozzi, Alberto Vezzani
Journal of the Institute of Mathematics of Jussieu, Volume 20, Issue 4

Article
A FUNCTIONAL LOGARITHMIC FORMULA FOR THE HYPERGEOMETRIC FUNCTION $_{3}F_{2}$
MASANORI ASAKURA, NORIYUKI OTSUBO
Nagoya Mathematical Journal, Volume 236

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$K$-theory of forms (19Gxx)

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Article
Corrigendum: A certain structure of Artin groups and the isomorphism conjecture
S.K. Roushon
Canadian Journal of Mathematics, Volume 76, Issue 2

Article
Mixed Witt rings of algebras with involution
Nicolas Garrel
Canadian Journal of Mathematics, Volume 75, Issue 2

Article
THE BOREL CHARACTER
Frédéric Déglise, Jean Fasel
Journal of the Institute of Mathematics of Jussieu, Volume 22, Issue 2

Article
A certain structure of Artin groups and the isomorphism conjecture
S.K. Roushon
Canadian Journal of Mathematics, Volume 73, Issue 4

Article
HIGHER $K$-THEORY OF FORMS I. FROM RINGS TO EXACT CATEGORIES
Marco Schlichting
Journal of the Institute of Mathematics of Jussieu, Volume 20, Issue 4

Article
Coarse flow spaces for relatively hyperbolic groups
A. Bartels
Compositio Mathematica, Volume 153, Issue 4

Article
EQUIVARIANT CALCULUS OF FUNCTORS AND $\mathbb{Z}/2$ -ANALYTICITY OF REAL ALGEBRAIC $K$ -THEORY
Emanuele Dotto
Journal of the Institute of Mathematics of Jussieu, Volume 15, Issue 4

Article
The special linear version of the projective bundle theorem
Alexey Ananyevskiy
Compositio Mathematica, Volume 151, Issue 3

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Obstructions from topology (19Jxx)

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$K$-theory and operator algebras (19Kxx)

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Article
KK-theory of circle actions with the Rokhlin property
Eusebio Gardella
Canadian Journal of Mathematics, First View

Article
Generalised Dirac-Schrödinger operators and the Callias Theorem
Koen van den Dungen
Forum of Mathematics, Sigma, Volume 13

Article
RANKS OF SOFT OPERATORS IN NOWHERE SCATTERED $\mathrm {C}^*$-ALGEBRAS
M. Ali Asadi-Vasfi, Hannes Thiel, Eduard Vilalta
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 2

Article
A CATEGORICAL APPROACH TO THE BAUM–CONNES CONJECTURE FOR ÉTALE GROUPOIDS
Christian Bönicke, Valerio Proietti
Journal of the Institute of Mathematics of Jussieu, Volume 23, Issue 5

Article
Homology and K-theory of dynamical systems I. Torsion-free ample groupoids
VALERIO PROIETTI, MAKOTO YAMASHITA
Ergodic Theory and Dynamical Systems, Volume 42, Issue 8

Article
The Cuntz semigroup and the radius of comparison of the crossed product by a finite group
M. ALI ASADI-VASFI, NASSER GOLESTANI, N. CHRISTOPHER PHILLIPS
Ergodic Theory and Dynamical Systems, Volume 41, Issue 12

Article
Deformation of Dirac operators along orbits and quantization of noncompact Hamiltonian torus manifolds
Hajime Fujita
Canadian Journal of Mathematics, Volume 74, Issue 4

Article
The Baum–Connes conjecture localised at the unit element of a discrete group
Paolo Antonini, Sara Azzali, Georges Skandalis
Compositio Mathematica, Volume 156, Issue 12

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Topological $K$-theory (19Lxx)

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Article
Equivariant Segre and Verlinde invariants for Quot schemes
Arkadij Bojko, Jiahui Huang
Moduli, Volume 2

Article
On the formal Peterson subalgebra and its dual
Rui Xiong, Kirill Zaynullin, Changlong Zhong
Canadian Journal of Mathematics, First View

Article
Semiregularity as a consequence of Goodwillie’s theorem
J.P. Pridham
Forum of Mathematics, Sigma, Volume 12

Article
Enough vector bundles on orbispaces
John Pardon
Compositio Mathematica, Volume 158, Issue 11

Article
Trace and Künneth formulas for singularity categories and applications
Bertrand Toën, Gabriele Vezzosi
Compositio Mathematica, Volume 158, Issue 3

Article
Wall-crossings and a categorification of K-theory stable bases of the Springer resolution
Changjian Su, Gufang Zhao, Changlong Zhong
Compositio Mathematica, Volume 157, Issue 11

Article
DIRAC OPERATORS ON ORIENTIFOLDS
SIMON KITSON
Bulletin of the Australian Mathematical Society, Volume 104, Issue 1

Article
Open manifolds with non-homeomorphic positively curved souls
DAVID GONZÁLEZ-ÁLVARO, MARCUS ZIBROWIUS
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 169, Issue 2

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Miscellaneous applications of $K$-theory (19Mxx)

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Article
THE K-THEORY OF THE ${\mathit{C}}^{\star }$-ALGEBRAS OF 2-RANK GRAPHS ASSOCIATED TO COMPLETE BIPARTITE GRAPHS
SAM A. MUTTER
Journal of the Australian Mathematical Society, Volume 113, Issue 1

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MSC 2010: $K$-theory

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$K$-theory (19-XX)

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Grothendieck groups and $K_0$ (19Axx)

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Whitehead groups and $K_1$ (19Bxx)

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Steinberg groups and $K_2$ (19Cxx)

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Higher algebraic $K$-theory (19Dxx)

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$K$-theory in geometry (19Exx)

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$K$-theory in number theory (19Fxx)

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$K$-theory of forms (19Gxx)

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Obstructions from topology (19Jxx)

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$K$-theory and operator algebras (19Kxx)

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Topological $K$-theory (19Lxx)

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Miscellaneous applications of $K$-theory (19Mxx)

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