\(K\)-TheoryAn Interdisciplinary Journal for the Development, Application, and Influence of \(K\)-Theory in the Mathematical Sciences Short Title: \(K\)-Theory Publisher: Springer, Dordrecht ISSN: 0920-3036; 1573-0514/e Online: http://access.portico.org/stable?cs=ISSN_09203036 Comments: Journal; No longer indexed Documents Indexed: 662 Publications (1987–2008) References Indexed: 332 Publications with 6,715 References. all top 5 Latest Issues 38, No. 2 (2008) 38, No. 1 (2007) 37, No. 4 (2006) 37, No. 3 (2006) 37, No. 1-2 (2006) 36, No. 3-4 (2005) 36, No. 1-2 (2005) 35, No. 3-4 (2005) 35, No. 1-2 (2005) 34, No. 4 (2005) 34, No. 3 (2005) 34, No. 2 (2005) 34, No. 1 (2005) 33, No. 4 (2004) 33, No. 3 (2004) 33, No. 2 (2004) 33, No. 1 (2004) 32, No. 4 (2004) 32, No. 3 (2004) 32, No. 2 (2004) 32, No. 1 (2004) 31, No. 4 (2004) 31, No. 3 (2004) 31, No. 2 (2004) 31, No. 1 (2004) 30, No. 4 (2003) 30, No. 3 (2003) 30, No. 2 (2003) 30, No. 1 (2003) 29, No. 4 (2003) 29, No. 3 (2003) 29, No. 2 (2003) 29, No. 1 (2003) 28, No. 4 (2003) 28, No. 3 (2003) 28, No. 2 (2003) 28, No. 1 (2003) 27, No. 4 (2002) 27, No. 3 (2002) 27, No. 2 (2002) 27, No. 1 (2002) 26, No. 4 (2002) 26, No. 3 (2002) 26, No. 2 (2002) 26, No. 1 (2002) 25, No. 4 (2002) 25, No. 3 (2002) 25, No. 2 (2002) 25, No. 1 (2002) 24, No. 4 (2001) 24, No. 3 (2001) 24, No. 2 (2001) 24, No. 1 (2001) 23, No. 4 (2001) 23, No. 3 (2001) 23, No. 2 (2001) 23, No. 1 (2001) 22, No. 4 (2001) 22, No. 3 (2001) 22, No. 1-2 (2001) 21, No. 4 (2000) 21, No. 3 (2000) 21, No. 2 (2000) 21, No. 1 (2000) 20, No. 4 (2000) 20, No. 3 (2000) 20, No. 2 (2000) 20, No. 1 (2000) 19, No. 4 (2000) 19, No. 3 (2000) 19, No. 2 (2000) 19, No. 1 (2000) 18, No. 4 (1999) 18, No. 3 (1999) 18, No. 2 (1999) 18, No. 1 (1999) 17, No. 4 (1999) 17, No. 3 (1999) 17, No. 2 (1999) 17, No. 1 (1999) 16, No. 4 (1999) 16, No. 3 (1999) 16, No. 2 (1999) 16, No. 1 (1999) 15, No. 4 (1998) 15, No. 3 (1998) 15, No. 2 (1998) 15, No. 1 (1998) 14, No. 4 (1998) 14, No. 3 (1998) 14, No. 2 (1998) 14, No. 1 (1998) 13, No. 4 (1998) 13, No. 3 (1998) 13, No. 2 (1998) 13, No. 1 (1998) 12, No. 4 (1997) 12, No. 3 (1997) 12, No. 2 (1997) 12, No. 1 (1997) ...and 61 more Volumes all top 5 Authors 9 Baues, Hans-Joachim 8 Levine, Marc Noel 8 Weibel, Charles A. 7 Lück, Wolfgang 7 Mitchell, Stephen Ames 7 Yu, Guoliang 6 Baum, Paul Frank 6 Khalkhali, Masoud 5 Caenepeel, Stefaan 5 Dadarlat, Marius 5 Esnault, Hélène 5 Grayson, Daniel Richard 5 Kahn, Bruno 5 Merkur’ev, Aleksandr Sergeevich 5 Minian, Elias Gabriel 5 Morimoto, Masaharu 5 Panin, Ivan A. 5 Roe, John 5 Thomsen, Klaus E. 5 van Oystaeyen, Freddy 4 Bak, Anthony 4 Brylinski, Jean-Luc 4 Farrell, F. Thomas 4 Guccione, Jorge Alberto 4 Heitsch, James L. 4 Higson, Nigel 4 Ji, Ronghui 4 Jones, Lowell Edwin 4 Karoubi, Max 4 Kassel, Christian 4 Pedersen, Erik Kjær 4 Kuku, Aderemi Oluyomi 4 Nistor, Victor 4 Østvær, Paul Arne 4 Porter, Timothy 4 Ranicki, Andrew Alexander 4 Rørdam, Mikael 4 Zekri, Richard 3 Anderson, Douglas Ross 3 Benameur, Moulay-Tahar 3 Carlsson, Gunnar E. 3 Cortiñas, Guillermo H. 3 Cuntz, Joachim 3 Davis, James Frederic 3 Elliott, George A. 3 Fiedorowicz, Zbigniew 3 Gajda, Wojciech 3 Goodwillie, Thomas Gehret 3 Guccione, Juan José 3 Hajac, Piotr M. 3 Igusa, Kiyoshi 3 Inassaridze, Hvedri 3 Jardine, John Frederick 3 Joshua, Roy 3 Kuhn, Nicholas J. 3 Lack, Stephen 3 Lesniewski, Andrzej 3 Loring, Terry A. 3 Müller-Stach, Stefan J. 3 Neeman, Amnon 3 Nenashev, Alexander 3 Nicas, Andrew J. 3 Ogle, Crichton 3 Pajitnov, Andrei Vladimirovich 3 Parimala, Raman 3 Pedrini, Claudio 3 Rognes, John 3 Rosenberg, Jonathan Micah 3 Rosenschon, Andreas 3 Schochet, Claude L. 3 Skandalis, Georges 3 Smith, S. Paul 3 Snaith, Victor Percy 3 Sridharan, Ramaiyengar 3 Torrecillas Jover, Blas 3 Tu, Jean-Louis 3 Vaknin, Avishay 3 Verschoren, Alain H. M. J. 3 Walker, Mark E. 3 Yao, Dongyuan 2 Al Amrani, Abdallah 2 Ara, Pere 2 Asakura, Masanori 2 Badzioch, Bernard 2 Balmer, Paul 2 Banaszak, Grzegorz 2 Barge, Jean 2 Basu, Devraj 2 Betley, Stanislaw 2 Bhatwadekar, Srikant M. 2 Biswas, Indranil 2 Bochnak, Jacek 2 Boersema, Jeffrey L. 2 Braverman, Maxim 2 Carey, Alan L. 2 Cathelineau, Jean-Louis 2 Cibils, Claude 2 Cohen, Ralph L. 2 Colliot-Thélène, Jean-Louis 2 Connes, Alain ...and 497 more Authors all top 5 Fields 403 \(K\)-theory (19-XX) 155 Category theory; homological algebra (18-XX) 152 Functional analysis (46-XX) 149 Algebraic topology (55-XX) 123 Algebraic geometry (14-XX) 95 Associative rings and algebras (16-XX) 71 Number theory (11-XX) 61 Manifolds and cell complexes (57-XX) 61 Global analysis, analysis on manifolds (58-XX) 56 Group theory and generalizations (20-XX) 23 Commutative algebra (13-XX) 19 Nonassociative rings and algebras (17-XX) 16 Topological groups, Lie groups (22-XX) 15 Field theory and polynomials (12-XX) 13 Operator theory (47-XX) 6 Several complex variables and analytic spaces (32-XX) 5 General and overarching topics; collections (00-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Differential geometry (53-XX) 3 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 599 Publications have been cited 7,019 times in 4,899 Documents Cited by ▼ Year ▼ The Baum-Connes conjecture for amenable foliations. (La conjecture de Baum-Connes pour les feuilletages moyennables.) Zbl 0939.19001 Tu, Jean-Louis 130 1999 A theory of dimension. Zbl 0874.18005 Longo, R.; Roberts, J. E. 117 1997 Calculus. II: Analytic functors. Zbl 0776.55008 Goodwillie, Thomas G. 106 1992 Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory. Zbl 0921.19003 Davis, James F.; Lück, Wolfgang 102 1998 Generalized divisors on Gorenstein schemes. Zbl 0826.14005 Hartshorne, Robin 93 1994 Decomposition of transvections: A theme with variations. Zbl 0944.20031 Stepanov, Alexei; Vavilov, Nikolai 73 2000 Support varieties for selfinjective algebras. Zbl 1116.16007 Erdmann, Karin; Holloway, Miles; Taillefer, Rachel; Snashall, Nicole; Solberg, Øyvind 73 2004 Orbifolds, sheaves and groupoids. Zbl 0883.22005 Moerdijk, I.; Pronk, D. A. 71 1997 Calculus. I: The first derivative of pseudoisotopy theory. Zbl 0741.57021 Goodwillie, Thomas G. 70 1990 Approximately central matrix units and the structure of noncommutative tori. Zbl 0813.46064 Blackadar, Bruce; Kumjian, Alexander; Rørdam, Mikael 70 1992 Riemann-Roch theorems for Deligne-Mumford stacks. (Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford.) Zbl 0946.14004 Toen, B. 69 1999 Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules. Zbl 0657.46049 Connes, A. 68 1988 Torsion in \(K_ 2\) of fields. Zbl 0635.12015 Suslin, A. A. 67 1987 Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability. Zbl 0741.19001 Bak, Anthony 64 1991 Classification of Cuntz-Krieger algebras. Zbl 0826.46064 Rørdam, Mikael 63 1995 The stable \(\mathbb{A}^1\)-connectivity theorems. Zbl 1117.14023 Morel, Fabien 63 2005 \(K_0\) of purely infinite simple regular rings. Zbl 1012.16013 Ara, P.; Goodearl, K. R.; Pardo, E. 60 2002 \(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory). Zbl 0683.46048 Baaj, Saad; Skandalis, Georges 55 1989 Localization algebras and the coarse Baum-Connes conjecture. Zbl 0888.46047 Yu, Guoliang 55 1997 Une notion de nucléarité en K-théorie (d’après J. Cuntz). (A notion of nuclearity in K-theory (in the sense of J. Cuntz)). Zbl 0653.46065 Skandalis, Georges 53 1988 The \(KK\)-product of unbounded modules. Zbl 0871.19004 Kucerovsky, Dan 53 1997 A new look at KK-theory. Zbl 0636.55001 Cuntz, Joachim 52 1987 The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion. Zbl 0814.58033 Fel’shtyn, Alexander; Hill, Richard 51 1994 The de Rham homotopy theory of complex algebraic varieties. I. Zbl 0637.55006 Hain, Richard M. 50 1987 Oriented cohomology theories of algebraic varieties. Zbl 1047.19001 Panin, I. 49 2003 Equivariant spectral triples on the quantum SU(2) group. Zbl 1028.58005 Chakraborty, Partha Sarathi; Pal, Arupkumar 49 2003 Equivariant Kasparov theory and groupoids. I. (Théorie de Kasparov équivariante et groupoïdes. I.) Zbl 0932.19004 Le Gall, Pierre-Yves 48 1999 The stability theorem for smooth pseudoisotopies. Zbl 0691.57011 Igusa, Kiyoshi 47 1988 The Novikov conjecture for hyperbolic foliations. (La conjecture de Novikov pour les feuilletages hyperboliques.) Zbl 0932.19005 Tu, Jean Louis 47 1999 An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory. Zbl 1109.14024 Dugger, Daniel 46 2005 Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory. Zbl 0776.19003 Totaro, Burt 46 1992 On the algebraic \(K\)-theory of twisted flag varieties. Zbl 0854.19002 Panin, I. A. 45 1994 Generic representations of the finite general linear groups and the Steenrod algebra. II. Zbl 0830.20065 Kuhn, Nicholas J. 45 1994 Dimension theory and nonstable \(K_{1}\) of quadratic modules. Zbl 1020.19001 Hazrat, Roozbeh 43 2002 Coarse Baum-Connes conjecture. Zbl 0829.19004 Yu, Guoliang 42 1995 A Quillen model structure for 2-categories. Zbl 1017.18005 Lack, Stephen 42 2002 Nonstrict notions of \(n\)-category and \(n\)-groupoid via multisimplical sets. (Sur des notions de \(n\)-categorie et \(n\)-groupoide non strictes via des ensembles multi-simpliciaux.) Zbl 0934.18008 Tamsamani, Zouhair 41 1999 Noncommutative homology of some three-dimensional quantum spaces. Zbl 0814.16006 Van den Bergh, Michel 40 1994 Codimension 2 cycles on Severi-Brauer varieties. Zbl 0896.19002 Karpenko, Nikita A. 39 1998 Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras. Zbl 1101.19003 Menichi, Luc 39 2004 Index reduction formulas for twisted flag varieties. I. Zbl 0874.16012 Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. 39 1996 Cyclic cohomology of etale groupoids. Zbl 0812.19003 Brylinski, J.-L.; Nistor, Victor 39 1994 Overgroups of unitary groups. Zbl 1040.20039 Petrov, Viktor 38 2003 Quantum Yang-Baxter module algebras. Zbl 0829.16032 Caenepeel, S.; Van Oystaeyen, Fred; Zhang, Y. H. 38 1994 Triangular Witt groups. I: The 12-term localization exact sequence. Zbl 0953.18003 Balmer, Paul 37 2000 On the structure of the \(K_ 2\) of the ring of integers in a number field. Zbl 0705.19007 Keune, Frans 36 1989 Noncommutative differential geometry on the quantum two sphere of Podlès. I: An algebraic viewpoint. Zbl 0763.46059 Masuda, Tetsuya; Nakagami, Yoshiomi; Watanabe, Junsei 36 1991 Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006 Goss, David 35 1989 Index theorem for equivariant Dirac operators on noncompact manifolds. Zbl 1020.58020 Braverman, Maxim 35 2002 Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002 Higson, Nigel; Roe, John 33 2004 K-theory of reduced \(C^*\)-algebras and rapidly decreasing functions on groups. Zbl 0692.46062 Jolissaint, Paul 32 1989 Symmetric spectra and topological Hochschild homology. Zbl 0938.55017 Shipley, Brooke 32 2000 Towards an axiomatization of the theory of higher categories. (Vers une axiomatisation de la théorie des catégories supérieures.) Zbl 1083.18003 Toën, Bertrand 32 2005 Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. Zbl 0738.46035 Kasparov, G. G.; Skandalis, G. 32 1991 Smoothness and locality for nonunital spectral triples. Zbl 1027.46088 Rennie, A. 32 2003 Cyclic cohomology of étale groupoids: The general case. Zbl 0937.19007 Crainic, Marius 31 1999 \(C^*\)-algebras and controlled topology. Zbl 0879.19003 Higson, Nigel; Pedersen, Erik Kjær; Roe, John 31 1997 Some algebraic properties of cyclic homology groups. Zbl 0636.18005 Hood, Christine E.; Jones, John D. S. 30 1987 2-nerves for bicategories. Zbl 1155.18006 Lack, Stephen; Paoli, Simona 30 2008 A Quillen model structure for bicategories. Zbl 1069.18008 Lack, Stephen 30 2004 Elementary groups and stability for Jordan pairs. Zbl 0835.17021 Loos, Ottmar 29 1995 Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004 Carey, Alan; Phillips, John 29 2004 Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002 Higson, Nigel; Roe, John 28 2004 Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003 Higson, Nigel; Roe, John 28 2004 The lower algebraic \(K\)-theory of virtually infinite cyclic groups. Zbl 0829.19002 Farrell, F. T.; Jones, L. E. 27 1995 Higher eta-invariants. Zbl 0773.58026 Lott, John 27 1992 Galois descent and \(K_ 2\) of number fields. (Descente galoisienne et \(K_ 2\) des corps de nombres.) Zbl 0780.12007 Kahn, Bruno 27 1993 Vector bundles over real algebraic varieties. Zbl 0761.14020 Bochnak, J.; Buchner, M.; Kucharz, W. 26 1989 Auslander-Reiten theory via Brown representability. Zbl 0970.18012 Krause, Henning 26 2000 Cyclic cohomology and algebra extensions. Zbl 0696.16021 Quillen, Daniel 26 1989 The homology of algebras of pseudo-differential symbols and the noncommutative residue. Zbl 0646.58026 Brylinski, Jean-Luc; Getzler, Ezra 25 1987 Equivariant Kasparov theory and generalized homomorphisms. Zbl 0982.19004 Meyer, Ralf 25 2000 \(d^N=0\): Generalized homology. Zbl 0918.18008 Dubois-Violette, Michel 25 1998 Local projective model structures on simplicial presheaves. Zbl 1073.14517 Blander, Benjamin A. 25 2001 Bivariant cyclic theory. Zbl 0755.18008 Jones, John D. S.; Kassel, Christian 25 1989 Cyclic homology of algebras with one generator. Zbl 0743.13008 The Buenos Aires Cyclic Homology Group 25 1991 On the geometry of 2-categories and their classifying spaces. Zbl 1037.18003 Bullejos, M.; Cegarra, A. M. 24 2003 Representable K-theory for \(\sigma\)-C\({}^*\)-algebras. Zbl 0709.46033 Phillips, N. Christopher 24 1989 Noncommutative differential geometry on the quantum \(\text{SU}(2)\). I: An algebraic viewpoint. Zbl 0719.46042 Masuda, Tetsuya; Nakagami, Yoshiomi; Watanabe, Junsei 24 1990 Algebraic string operations. Zbl 1144.55012 Tradler, Thomas; Zeinalian, Mahmoud 24 2007 Brown-Peterson cohomology from Morava \(K\)-theory. Zbl 0912.55002 Ravenel, Douglas C.; Wilson, W. Stephen; Yagita, Nobuaki 23 1998 Finite-dimensional motives and the conjectures of Beilinson and Murre. Zbl 1060.19001 Guletskiǐ, V.; Pedrini, C. 23 2003 On Milnor K-groups attached to semi-Abelian varieties. Zbl 0721.14003 Somekawa, M. 23 1990 Caractère multiplicatif d’un module de Fredholm. (Multiplicative character of a Fredholm module). Zbl 0671.46034 Connes, Alain; Karoubi, Max 22 1988 On the word length of commutators in \(\text{GL}_n(R)\). Zbl 0935.20037 Sivatski, A. S.; Stepanov, A. V. 22 1999 Hermitian groups and \(K\)-theory. Zbl 0899.19003 Tang, Guoping 22 1998 Approximately unitarily equivalent morphisms and inductive limit \(C^*\)- algebras. Zbl 0828.46055 Dadarlat, Marius 22 1995 Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010 Melrose, Richard; Rochon, Frédéric 22 2006 Stability for quadratic \(K_1\). Zbl 1048.19001 Bak, Anthony; Petrov, Viktor; Guoping, Tang 22 2003 Index reduction formulas for twisted flag varieties. II. Zbl 0918.16013 Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. 21 1998 Rost’s cohomological invariants in positive characteristic. (Invariants cohomologiques de Rost en caractéristique positive.) Zbl 0993.20031 Gille, Philippe 21 2000 Witt cohomology, Mayer-Vietoris, homotopy invariance and the Gersten conjecture. Zbl 0987.19002 Balmer, Paul 21 2001 Real \(C^*\)-algebras, united \(K\)-theory, and the Künneth formula. Zbl 1024.46021 Boersema, Jeffrey L. 21 2002 \(K_1\) of some non-commutative completed group rings. Zbl 1080.19002 Kato, Kazuya 21 2005 Twisted homology of quantum \(\text{SL}(2)\). Zbl 1098.58006 Hadfield, Tom; Krähmer, Ulrich 21 2005 \(N\)-fold Čech derived functors and generalised Hopf type formulas. Zbl 1101.18008 Donadze, Guram; Inassaridze, Nick; Porter, Timothy 21 2005 Squeezing and higher algebraic \(K\)-theory. Zbl 1036.19002 Bartels, Arthur C. 21 2003 Functoriality of the bimodule associated to a Hilsum-Skandalis map. Zbl 0938.22002 Mrčun, Janez 20 1999 Generic representations of the finite general linear groups and the Steenrod algebra. III. Zbl 0831.20057 Kuhn, Nicholas J. 20 1995 Computations of \(K\)- and \(L\)-theory of cocompact planar groups. Zbl 0979.19003 Lück, Wolfgang; Stamm, Roland 20 2000 2-nerves for bicategories. Zbl 1155.18006 Lack, Stephen; Paoli, Simona 30 2008 A nice group structure on the orbit space of unimodular rows. Zbl 1143.13013 Garge, Anuradha S.; Rao, Ravi A. 13 2008 On the classification and properties of noncommutative duplicates. Zbl 1189.16012 López Peña, Javier; Navarro, Gabriel 7 2008 Morava \(K\)-theory rings for the modular groups in Chern classes. Zbl 1144.55016 Bakuradze, Malkhaz 6 2008 A remark on transitivity of Galois action on the set of uniquely divisible abelian extensions in \(\text{Ext}^1(E(\overline {\mathbb {Q}}),\Lambda)\). Zbl 1200.14088 Gavrilovich, Misha 6 2008 Twisted equivariant \(K\)-theory for proper actions of discrete groups. Zbl 1141.19004 Dwyer, Christopher 6 2008 On a spectral sequence for equivariant \(K\)-theory. Zbl 1144.19003 Levine, Marc; Serpé, Christian 1 2008 Algebraic string operations. Zbl 1144.55012 Tradler, Thomas; Zeinalian, Mahmoud 24 2007 Enlargeability and index theory: infinite covers. Zbl 1128.58012 Hanke, Bernhard; Schick, Thomas 13 2007 The Milnor-Chow homomorphism revisited. Zbl 1144.19002 Kerz, Moritz; Müller-Stach, Stefan 7 2007 The integral Novikov conjectures for \(S\)-arithmetic groups. I. Zbl 1130.22005 Ji, Lizhen 3 2007 Additivity for the parametrized topological Euler characteristic and Reidemeister torsion. Zbl 1134.19001 Badzioch, Bernard; Dorabiała, Wojciech 2 2007 Erratum: “The lower algebraic \(K\)-theory of \(\Gamma_3\)”. Zbl 1202.19002 Ortiz, Ivonne J. 1 2007 Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010 Melrose, Richard; Rochon, Frédéric 22 2006 Chow’s moving Lemma and the homotopy coniveau tower. Zbl 1117.19003 Levine, Marc 13 2006 The Grothendieck group of a quantum projective space bundle. Zbl 1114.14003 Mori, Izuru; Smith, S. Paul. 8 2006 Semilattices of groups and nonstable K-theory of extended Cuntz limits. Zbl 1114.46050 Pardo, Enrique; Wehrung, Friedrich 6 2006 The product formula in unitary deformation \(K\)-theory. Zbl 1110.19004 Lawson, Tyler 6 2006 K-theory of pseudodifferential operators with semi-periodic symbols. Zbl 1117.46050 Melo, Severino T.; Silva, Cíntia C. 4 2006 The group \(SK_1\) for simple algebras. Zbl 1117.16006 Merkurjev, Alexander 4 2006 Diagrams and torsors. Zbl 1106.14008 Jardine, J. F. 4 2006 The equivariant noncommutative Atiyah-Patodi-Singer index theorem. Zbl 1117.58011 Wang, Yong 4 2006 Excision in Hopf cyclic homology. Zbl 1135.16009 Kaygun, A.; Khalkhali, M. 3 2006 Cycles in the chamber homology of \(\text{GL}(3)\). Zbl 1115.22012 Aubert, Anne-Marie; Hasan, Samir; Plymen, Roger 3 2006 Spectra of small categories and infinite loop space machines. Zbl 1121.55008 Minian, Elias Gabriel 2 2006 Subexponential group cohomology and the \(K\)-theory of Lafforgue’s algebra \({\mathcal{A}_{\max}}(\pi)\). Zbl 1118.19001 Ji, R.; Ogle, C. 1 2006 Noncommutative Mackey functors and Hopf-cyclic homology. Zbl 1123.16007 Słomińska, Jolanta 1 2006 The stable \(\mathbb{A}^1\)-connectivity theorems. Zbl 1117.14023 Morel, Fabien 63 2005 An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory. Zbl 1109.14024 Dugger, Daniel 46 2005 Towards an axiomatization of the theory of higher categories. (Vers une axiomatisation de la théorie des catégories supérieures.) Zbl 1083.18003 Toën, Bertrand 32 2005 \(K_1\) of some non-commutative completed group rings. Zbl 1080.19002 Kato, Kazuya 21 2005 Twisted homology of quantum \(\text{SL}(2)\). Zbl 1098.58006 Hadfield, Tom; Krähmer, Ulrich 21 2005 \(N\)-fold Čech derived functors and generalised Hopf type formulas. Zbl 1101.18008 Donadze, Guram; Inassaridze, Nick; Porter, Timothy 21 2005 Flasque model structures for simplicial presheaves. Zbl 1116.18008 Isaksen, Daniel C. 19 2005 Bivariant \(K\)-theory and the Weyl algebra. Zbl 1111.19003 Cuntz, Joachim 17 2005 The local index formula for \(\text{SU}_{q}(2)\). Zbl 1098.58007 Van Suijlekom, Walter; Dabrowski, Ludwik; Landi, Giovanni; Sitarz, Andrzej; Várilly, Joseph C. 17 2005 Elliptic operators on manifolds with singularities and \(K\)-homology. Zbl 1087.58013 Savin, Anton 14 2005 Bialgebra cyclic homology with coefficients. Zbl 1114.16011 Kaygun, Atabey 14 2005 Homotopy decompositions and \(K\)-theory of Bott towers. Zbl 1078.55016 Civan, Yusuf; Ray, Nigel 12 2005 A \(K\)-theory proof of the cobordism invariance of the index. Zbl 1117.58009 Carvalho, Catarina 12 2005 The \(K\)-theory of Heegaard-type quantum 3-spheres. Zbl 1111.46051 Baum, Paul F.; Hajac, Piotr M.; Matthes, Rainer; Szymański, Wojciech 11 2005 Homology stability for unitary groups. II. Zbl 1114.19003 Mirzaii, B. 7 2005 \(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras. Zbl 1113.19006 Basu, Devraj 7 2005 Motives and etale motives with finite coefficients. Zbl 1088.19002 Hasemeyer, Christian; Hornbostel, Jens 7 2005 Limit sets as examples in noncommutative geometry. Zbl 1106.46055 Lott, John 7 2005 Twisted Hochschild homology of quantum hyperplanes. Zbl 1110.46046 Sitarz, Andrzej 6 2005 A new proof of a theorem of Suslin. Zbl 1101.19002 Mazzoleni, A. 6 2005 Galois cohomology of certain field extensions and the divisible case of Milnor-Kato conjecture. Zbl 1156.11343 Positselski, Leonid 5 2005 Finiteness of higher \(K\)-groups of orders and group rings. Zbl 1112.19002 Kuku, Aderemi 5 2005 Representation rings of Lie superalgebras. Zbl 1122.19001 Landweber, Gregory D. 5 2005 Some Fréchet algebras for which the Chern character is an isomorphism. Zbl 1113.19002 Solleveld, Maarten 5 2005 Nonexcellence of the function field of the product of two conics. Zbl 1123.11014 Sivatski, A. S. 5 2005 \(E\)-theoretic duality for higher rank graph algebras. Zbl 1088.46043 Popescu, Iulian; Zacharias, Joachim 5 2005 Cup product, étale capitulation kernels and generalized Greenberg conjecture. (Cup-produit, noyaux de capitulation étales et conjecture de Greenberg généralisée.) Zbl 1156.11342 Vauclair, David 4 2005 The Brauer group of Azumaya corings and the second cohomology group. Zbl 1105.16034 Caenepeel, S.; Femić, B. 4 2005 Tame kernels for biquadratic number fields. Zbl 1220.11142 Yue, Qin 4 2005 On \(K_{2}\) of one-dimensional local rings. Zbl 1099.19002 Krishna, Amalendu 4 2005 Trace and transfer maps in the algebraic \(K\)-theory of spaces. Zbl 1116.19001 Douglas, Christopher L. 3 2005 The universal functorial equivariant Lefschetz invariant. Zbl 1111.55003 Weber, Julia 3 2005 Deformation theory of dialgebras (Errata). Zbl 1101.16306 Majumdar, Anita; Mukherjee, Goutam 3 2005 Numerably contractible categories. Zbl 1117.55019 Minian, Elias Gabriel 2 2005 Corrigendum: Index theory and non-commutative geometry. I: Higher families index theory. Zbl 1108.58020 Benameur, Moulay-Tahar; Heitsch, James L. 2 2005 Chern classes of analytic sets. (Classes de Chern des ensembles analytiques.) Zbl 1077.57023 Cavalier, Vincent; Lehmann, Daniel; Soares, Marcio G. 1 2005 A criterion for a vector bundle over a curve to admit a connection. Zbl 1106.14018 Biswas, Indranil 1 2005 Algebraic \(K\)-theory of parameterized endomorphisms. Zbl 1115.18005 Betley, Stanisław 1 2005 The stable class of the augmentation ideal. Zbl 1094.20001 Johnson, F. E. A. 1 2005 \(K_2\) of a ring via the \(G\)-construction. Zbl 1080.19003 Nenashev, Alexander 1 2005 Induced projective modules over group von Neumann algebras. Zbl 1105.19003 Emmanouil, Ioannis 1 2005 Trace and duality in symmetric monoidal categories. Zbl 1104.55002 Nicas, Andrew 1 2005 Support varieties for selfinjective algebras. Zbl 1116.16007 Erdmann, Karin; Holloway, Miles; Taillefer, Rachel; Snashall, Nicole; Solberg, Øyvind 73 2004 Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras. Zbl 1101.19003 Menichi, Luc 39 2004 Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002 Higson, Nigel; Roe, John 33 2004 A Quillen model structure for bicategories. Zbl 1069.18008 Lack, Stephen 30 2004 Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004 Carey, Alan; Phillips, John 29 2004 Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002 Higson, Nigel; Roe, John 28 2004 Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003 Higson, Nigel; Roe, John 28 2004 Schur functors and motives. Zbl 1071.14026 Mazza, Carlo 16 2004 Cocycle twisting of \(E(n)\)-module algebras and applications to the Brauer group. Zbl 1073.16028 Carnovale, G.; Cuadra, J. 16 2004 Higher Chern classes and Steenrod operations in motivic cohomology. 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Thomas 16 Klein, John Robert 16 Mathai, Varghese 16 Schick, Thomas 16 Solotar, Andrea Leonor 16 Thomsen, Klaus E. 16 van Oystaeyen, Freddy 16 Zhang, Zuhong 15 Baues, Hans-Joachim 15 Bergh, Petter Andreas 15 Elliott, George A. 15 Guccione, Jorge Alberto 15 Guccione, Juan José 15 Kaad, Jens 15 Pardo, Enrique 15 Rao, Ravi A. 15 Stepanov, Alexeĭ Vladimirovich 14 Asok, Aravind 14 Carlsen, Toke Meier 14 Echterhoff, Siegfried 14 Hazrat, Roozbeh 14 Hochs, Peter 14 Kahn, Bruno 14 Khalkhali, Masoud 14 Landi, Giovanni 14 Mesland, Bram 14 Morimoto, Masaharu 14 Panin, Ivan A. 14 Sukochev, Fedor Anatol’evich 14 Williams, Bruce 14 Zhang, Yinhuo 13 Connes, Alain 13 Garkusha, Grigory 13 Merkur’ev, Aleksandr Sergeevich 13 Piazza, Paolo 13 Savin, Anton Yur’evich 13 Tang, Xiang 13 Troitskiĭ, Evgeniĭ Vadimovich 13 van Suijlekom, Walter Daniël 12 Bartels, Arthur C. 12 Cegarra, Antonio Martínez 12 Chen, Xiaoman 12 Deeley, Robin J. 12 Emerson, Heath 12 Geisser, Thomas H. 12 Giorgetti, Luca 12 Goffeng, Magnus 12 Hutchinson, Kevin 12 Qin, Hourong 12 Skandalis, Georges 12 Wang, Hang 12 Wang, Qin 12 Weiss, Michael S. 12 Xie, Zhizhang 12 Zainoulline, Kirill 11 Bachmann, Tom 11 Bak, Anthony 11 Bunke, Ulrich 11 Caenepeel, Stefaan 11 Chirvăsitu, Alexandru 11 Engel, Alexander 11 Gille, Stefan G. 11 Gong, Guihua 11 Hain, Richard M. 11 Hajac, Piotr M. 11 Igusa, Kiyoshi 11 Kaygun, Atabey 11 Lindenstrauss, Ayelet 11 Longo, Roberto 11 Loring, Terry A. 11 Manuĭlov, Vladimir Markovich 11 McCarthy, Randy 11 Mikhaĭlov, Roman Valer’evich 11 Pask, David 11 Phillips, N. Christopher ...and 3,224 more Authors all top 5 Cited in 300 Journals 295 Journal of Pure and Applied Algebra 276 Advances in Mathematics 264 Journal of Algebra 189 Journal of Functional Analysis 173 \(K\)-Theory 169 Transactions of the American Mathematical Society 156 Communications in Algebra 115 Journal of \(K\)-Theory 113 Proceedings of the American Mathematical Society 113 Algebraic & Geometric Topology 113 Journal of Noncommutative Geometry 112 Communications in Mathematical Physics 86 Mathematische Zeitschrift 81 Journal für die Reine und Angewandte Mathematik 79 Mathematische Annalen 73 Topology and its Applications 67 Journal of Geometry and Physics 60 Inventiones Mathematicae 59 Geometry & Topology 57 Journal of Mathematical Sciences (New York) 55 Journal of Homotopy and Related Structures 52 Annals of \(K\)-Theory 51 Journal of Number Theory 49 International Journal of Mathematics 48 Annales de l’Institut Fourier 48 Comptes Rendus. Mathématique. Académie des Sciences, Paris 46 Duke Mathematical Journal 43 St. Petersburg Mathematical Journal 39 Compositio Mathematica 38 Journal of Topology and Analysis 36 Letters in Mathematical Physics 36 Documenta Mathematica 32 Manuscripta Mathematica 32 Algebras and Representation Theory 31 Journal of Topology 30 Israel Journal of Mathematics 30 Forum Mathematicum 30 Applied Categorical Structures 29 Journal of Algebraic Geometry 26 Reviews in Mathematical Physics 26 Memoirs of the American Mathematical Society 26 Journal of the American Mathematical Society 25 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 25 Selecta Mathematica. New Series 25 Acta Mathematica Sinica. English Series 25 Journal of Algebra and its Applications 23 Journal of Mathematical Analysis and Applications 21 Rocky Mountain Journal of Mathematics 21 Theory and Applications of Categories 20 Journal of Mathematical Physics 20 Bulletin of the London Mathematical Society 20 Geometriae Dedicata 19 Mathematical Proceedings of the Cambridge Philosophical Society 19 Ergodic Theory and Dynamical Systems 19 Journal of the Institute of Mathematics of Jussieu 17 Geometric and Functional Analysis. GAFA 16 Bulletin de la Société Mathématique de France 16 Publications Mathématiques 16 Pacific Journal of Mathematics 16 Transformation Groups 16 Forum of Mathematics, Sigma 15 Annals of Mathematics. Second Series 14 Groups, Geometry, and Dynamics 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 13 Bulletin of the American Mathematical Society. New Series 13 Journal de Théorie des Nombres de Bordeaux 13 Russian Journal of Mathematical Physics 13 The New York Journal of Mathematics 13 Journal of the European Mathematical Society (JEMS) 13 International Journal of Geometric Methods in Modern Physics 12 Archiv der Mathematik 12 Expositiones Mathematicae 12 Journal of the Australian Mathematical Society 12 Central European Journal of Mathematics 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Science China. Mathematics 12 Higher Structures 11 Indagationes Mathematicae. New Series 11 Algebra & Number Theory 10 Integral Equations and Operator Theory 10 Journal of the London Mathematical Society. Second Series 10 Proceedings of the London Mathematical Society. Third Series 10 Oberwolfach Reports 10 Kyoto Journal of Mathematics 10 Tunisian Journal of Mathematics 9 Acta Mathematica 9 Glasgow Mathematical Journal 9 Mathematische Nachrichten 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Science in China. Series A 9 Annales Mathématiques Blaise Pascal 9 Annales Henri Poincaré 9 Transactions of the American Mathematical Society. Series B 8 Mathematical Notes 8 Nagoya Mathematical Journal 8 Osaka Journal of Mathematics 8 Journal of the Ramanujan Mathematical Society 8 International Journal of Algebra and Computation 8 Algebra Colloquium 8 Mathematical Physics, Analysis and Geometry ...and 200 more Journals all top 5 Cited in 51 Fields 1,445 \(K\)-theory (19-XX) 1,148 Functional analysis (46-XX) 1,023 Algebraic geometry (14-XX) 917 Algebraic topology (55-XX) 903 Category theory; homological algebra (18-XX) 847 Associative rings and algebras (16-XX) 665 Group theory and generalizations (20-XX) 546 Global analysis, analysis on manifolds (58-XX) 441 Manifolds and cell complexes (57-XX) 430 Number theory (11-XX) 250 Differential geometry (53-XX) 246 Commutative algebra (13-XX) 227 Nonassociative rings and algebras (17-XX) 223 Topological groups, Lie groups (22-XX) 221 Quantum theory (81-XX) 117 Dynamical systems and ergodic theory (37-XX) 113 Operator theory (47-XX) 90 Several complex variables and analytic spaces (32-XX) 72 Combinatorics (05-XX) 63 Field theory and polynomials (12-XX) 45 Geometry (51-XX) 37 Abstract harmonic analysis (43-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 33 General topology (54-XX) 28 Partial differential equations (35-XX) 25 Statistical mechanics, structure of matter (82-XX) 24 Order, lattices, ordered algebraic structures (06-XX) 18 Convex and discrete geometry (52-XX) 15 Special functions (33-XX) 15 Relativity and gravitational theory (83-XX) 14 General and overarching topics; collections (00-XX) 14 Mathematical logic and foundations (03-XX) 14 Functions of a complex variable (30-XX) 10 History and biography (01-XX) 9 Probability theory and stochastic processes (60-XX) 9 Mechanics of particles and systems (70-XX) 7 Computer science (68-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Measure and integration (28-XX) 4 General algebraic systems (08-XX) 4 Potential theory (31-XX) 4 Information and communication theory, circuits (94-XX) 3 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year