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Schochet, Claude L.

Author ID: schochet.claude-l Recent zbMATH articles by "Schochet, Claude L."
Published as: Schochet, Claude; Schochet, Claude L.; Schochet, C. L.; Schochet, Claude (Chaim); Schochet, C.
External Links: MGP · Google Scholar · ResearchGate
Documents Indexed: 56 Publications since 1971, including 5 Books
2 Contributions as Editor
Reviewing Activity: 3 Reviews
Co-Authors: 31 Co-Authors with 29 Joint Publications
645 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 546 times in 410 Documents Cited by Year
The Künneth theorem and the universal coefficient theorem for Kasparov’s generalized K-functor. Zbl 0644.46051
Rosenberg, Jonathan; Schochet, Claude
172
1987
Global analysis on foliated spaces. 2nd ed. Zbl 1091.58015
Moore, Calvin C.; Schochet, Claude
48
2006
Global analysis on foliated spaces. Zbl 0648.58034
Moore, Calvin C.; Schochet, Claude
45
1988
Topological methods for C*-algebras. II: Geometric resolutions and the Kuenneth formula. Zbl 0439.46043
Schochet, Claude
36
1982
Topological methods for \(C^*\)-algebras. IV: Mod p homology. Zbl 0491.46062
Schochet, Claude
34
1984
Topological methods for \(C^*\)-algebras. III: Axiomatic homology. Zbl 0491.46061
Schochet, Claude
27
1984
Generalized homology theories on compact metric spaces. Zbl 0384.55001
Kahn, Daniel S.; Kaminker, Jerome; Schochet, Claude
20
1977
Topological methods for C*-algebras. I: Spectral sequences. Zbl 0426.46057
Schochet, Claude
16
1981
Differentials in the Eilenberg-Moore spectral sequence. Zbl 0237.55016
Kraines, David; Schochet, Claude
14
1972
K-theory and Steenrod homology: Applications to the Brown-Douglas- Fillmore theory of operator algebras. Zbl 0368.46054
Kaminker, Jerome; Schochet, Claude
14
1977
The Künneth theorem and the universal coefficient theorem for equivariant K-theory and KK-theory. Zbl 0607.46043
Rosenberg, Jonathan; Schochet, Claude
13
1986
The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups. Zbl 0839.19004
Schochet, Claude L.
12
1996
The fine structure of the Kasparov groups. III: Relative quasidiagonality. Zbl 1119.19006
Schochet, Claude L.
7
2005
Banach algebras and rational homotopy theory. Zbl 1163.55006
Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B.
7
2009
The fine structure of the Kasparov groups. I: Continuity of the KK-pairing. Zbl 0990.19003
Schochet, Claude L.
6
2001
Continuous trace \(C^*\)-algebras, gauge groups and rationalization. Zbl 1202.46066
Klein, John R.; Schochet, Claude L.; Smith, Samuel B.
6
2009
The fine structure on the Kasparov groups. II: Topologizing the UCT. Zbl 1029.19004
Schochet, Claude L.
6
2002
A two-stage Postnikov system where \(E_ 2 \neq E_ \infty\) in the Eilenberg-Moore spectral sequence. Zbl 0214.21902
Schochet, C.
6
1971
The Dixmier-Douady invariant for dummies. Zbl 1189.46048
Schochet, Claude
4
2009
A Pext primer. Pure extensions and \(\lim^1\) for infinite Abelian groups. Zbl 1033.20064
Schochet, Claude L.
4
2003
The classification of extensions of C*-algebras. Zbl 0473.46047
Rosenberg, Jonathan; Schochet, Claude
4
1981
Cobordism from an algebraic point of view. Zbl 0222.57025
Schochet, Claude
4
1971
Spanier-Whitehead \(K\)-duality for \(C^\ast\)-algebras. Zbl 1418.46033
Kaminker, Jerome; Schochet, Claude L.
4
2019
Spaces of sections of Banach algebra bundles. Zbl 1264.46050
Farjoun, Emmanuel Dror; Schochet, Claude L.
4
2012
On the \(K\)-theory of quarter-plane Toeplitz algebras. Zbl 0752.46040
Park, Efton; Schochet, Claude
3
1991
The topological snake lemma and corona algebras. Zbl 0932.46045
Schochet, C. L.
3
1999
Homogeneous extensions of C*-algebras and K-theory. I. Zbl 0441.46057
Schochet, Claude
3
1980
Coalgebra extensions in two-stage Postnikov systems. Zbl 0235.55019
Harper, John; Schochet, Claude
3
1972
\(K_1\) of the compact operators is zero. Zbl 0345.47024
Brown, L. G.; Schochet, Claude
2
1976
Correction to: “The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups”. Zbl 0901.19003
Schochet, Claude L.
2
1998
Comparing functors classifying extensions of C*-algebras. Zbl 0472.46050
Rosenberg, Jonathan; Schochet, Claude
2
1981
On the structure of graded formal groups of finite characteristic. Zbl 0245.55006
Schochet, Claude
2
1973
On the bordism ring of complex projective space. Zbl 0248.57022
Schochet, Claude
2
1973
Relating diffraction and spectral data of aperiodic tilings: towards a Bloch theorem. Zbl 1467.52029
Akkermans, Eric; Don, Yaroslav; Rosenberg, Jonathan; Schochet, Claude L.
2
2021
On equivariant Kasparov theory and Spanier-Whitehead duality. Zbl 0811.46075
Schochet, Claude
1
1992
Localization of grouplike function and section spaces with compact domain. Zbl 1214.55010
Schochet, Claude L.; Smith, Samuel B.
1
2010
Covariant representations on the Calkin algebra. I. Zbl 0401.46035
Loebl, Richard; Schochet, Claude
1
1978
Homogeneous extensions of \(C^*\)-algebras and K-theory. II. Zbl 0531.46047
Schochet, Claude
1
1983
Steenrod homology and operator algebras. Zbl 0325.55009
Kaminker, Jerome; Schochet, Claude
1
1975
The Kasparov groups for commutative \(C^*\)-algebras and Spanier- Whitehead duality. Zbl 0718.46055
Schochet, Claude
1
1990
Equivariant \(KK\)-theory for inverse limits of \(G\)-\(C^*\)-algebras. Zbl 0812.19004
Schochet, Claude
1
1994
Covariant representations on the Calkin algebra. II. Zbl 0447.46050
Schochet, Claude
1
1980
Topological obstructions to perturbations of pairs of operators. Zbl 0367.55021
Kaminker, Jerome; Schochet, Claude
1
1977
Relating diffraction and spectral data of aperiodic tilings: towards a Bloch theorem. Zbl 1467.52029
Akkermans, Eric; Don, Yaroslav; Rosenberg, Jonathan; Schochet, Claude L.
2
2021
Spanier-Whitehead \(K\)-duality for \(C^\ast\)-algebras. Zbl 1418.46033
Kaminker, Jerome; Schochet, Claude L.
4
2019
Spaces of sections of Banach algebra bundles. Zbl 1264.46050
Farjoun, Emmanuel Dror; Schochet, Claude L.
4
2012
Localization of grouplike function and section spaces with compact domain. Zbl 1214.55010
Schochet, Claude L.; Smith, Samuel B.
1
2010
Banach algebras and rational homotopy theory. Zbl 1163.55006
Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B.
7
2009
Continuous trace \(C^*\)-algebras, gauge groups and rationalization. Zbl 1202.46066
Klein, John R.; Schochet, Claude L.; Smith, Samuel B.
6
2009
The Dixmier-Douady invariant for dummies. Zbl 1189.46048
Schochet, Claude
4
2009
Global analysis on foliated spaces. 2nd ed. Zbl 1091.58015
Moore, Calvin C.; Schochet, Claude
48
2006
The fine structure of the Kasparov groups. III: Relative quasidiagonality. Zbl 1119.19006
Schochet, Claude L.
7
2005
A Pext primer. Pure extensions and \(\lim^1\) for infinite Abelian groups. Zbl 1033.20064
Schochet, Claude L.
4
2003
The fine structure on the Kasparov groups. II: Topologizing the UCT. Zbl 1029.19004
Schochet, Claude L.
6
2002
The fine structure of the Kasparov groups. I: Continuity of the KK-pairing. Zbl 0990.19003
Schochet, Claude L.
6
2001
The topological snake lemma and corona algebras. Zbl 0932.46045
Schochet, C. L.
3
1999
Correction to: “The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups”. Zbl 0901.19003
Schochet, Claude L.
2
1998
The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups. Zbl 0839.19004
Schochet, Claude L.
12
1996
Equivariant \(KK\)-theory for inverse limits of \(G\)-\(C^*\)-algebras. Zbl 0812.19004
Schochet, Claude
1
1994
On equivariant Kasparov theory and Spanier-Whitehead duality. Zbl 0811.46075
Schochet, Claude
1
1992
On the \(K\)-theory of quarter-plane Toeplitz algebras. Zbl 0752.46040
Park, Efton; Schochet, Claude
3
1991
The Kasparov groups for commutative \(C^*\)-algebras and Spanier- Whitehead duality. Zbl 0718.46055
Schochet, Claude
1
1990
Global analysis on foliated spaces. Zbl 0648.58034
Moore, Calvin C.; Schochet, Claude
45
1988
The Künneth theorem and the universal coefficient theorem for Kasparov’s generalized K-functor. Zbl 0644.46051
Rosenberg, Jonathan; Schochet, Claude
172
1987
The Künneth theorem and the universal coefficient theorem for equivariant K-theory and KK-theory. Zbl 0607.46043
Rosenberg, Jonathan; Schochet, Claude
13
1986
Topological methods for \(C^*\)-algebras. IV: Mod p homology. Zbl 0491.46062
Schochet, Claude
34
1984
Topological methods for \(C^*\)-algebras. III: Axiomatic homology. Zbl 0491.46061
Schochet, Claude
27
1984
Homogeneous extensions of \(C^*\)-algebras and K-theory. II. Zbl 0531.46047
Schochet, Claude
1
1983
Topological methods for C*-algebras. II: Geometric resolutions and the Kuenneth formula. Zbl 0439.46043
Schochet, Claude
36
1982
Topological methods for C*-algebras. I: Spectral sequences. Zbl 0426.46057
Schochet, Claude
16
1981
The classification of extensions of C*-algebras. Zbl 0473.46047
Rosenberg, Jonathan; Schochet, Claude
4
1981
Comparing functors classifying extensions of C*-algebras. Zbl 0472.46050
Rosenberg, Jonathan; Schochet, Claude
2
1981
Homogeneous extensions of C*-algebras and K-theory. I. Zbl 0441.46057
Schochet, Claude
3
1980
Covariant representations on the Calkin algebra. II. Zbl 0447.46050
Schochet, Claude
1
1980
Covariant representations on the Calkin algebra. I. Zbl 0401.46035
Loebl, Richard; Schochet, Claude
1
1978
Generalized homology theories on compact metric spaces. Zbl 0384.55001
Kahn, Daniel S.; Kaminker, Jerome; Schochet, Claude
20
1977
K-theory and Steenrod homology: Applications to the Brown-Douglas- Fillmore theory of operator algebras. Zbl 0368.46054
Kaminker, Jerome; Schochet, Claude
14
1977
Topological obstructions to perturbations of pairs of operators. Zbl 0367.55021
Kaminker, Jerome; Schochet, Claude
1
1977
\(K_1\) of the compact operators is zero. Zbl 0345.47024
Brown, L. G.; Schochet, Claude
2
1976
Steenrod homology and operator algebras. Zbl 0325.55009
Kaminker, Jerome; Schochet, Claude
1
1975
On the structure of graded formal groups of finite characteristic. Zbl 0245.55006
Schochet, Claude
2
1973
On the bordism ring of complex projective space. Zbl 0248.57022
Schochet, Claude
2
1973
Differentials in the Eilenberg-Moore spectral sequence. Zbl 0237.55016
Kraines, David; Schochet, Claude
14
1972
Coalgebra extensions in two-stage Postnikov systems. Zbl 0235.55019
Harper, John; Schochet, Claude
3
1972
A two-stage Postnikov system where \(E_ 2 \neq E_ \infty\) in the Eilenberg-Moore spectral sequence. Zbl 0214.21902
Schochet, C.
6
1971
Cobordism from an algebraic point of view. Zbl 0222.57025
Schochet, Claude
4
1971
all top 5

Cited by 386 Authors

20 Dadarlat, Marius
20 Lin, Huaxin
18 Schochet, Claude L.
11 Hurder, Steven E.
8 Benameur, Moulay-Tahar
8 Lukina, Olga
8 Rosenberg, Jonathan Micah
8 Ruiz, Efren
7 Kaminker, Jerome
7 Lin, James P.
7 Phillips, N. Christopher
6 Barlak, Selçuk
6 Clark, Alex
6 Mahanta, Snigdhayan
6 Thomsen, Klaus E.
5 Douglas, Ronald George
5 Elliott, George A.
5 Gabe, James
5 Loring, Terry A.
4 Bentmann, Rasmus
4 Boersema, Jeffrey L.
4 Candel, Alberto
4 Eckhardt, Caleb
4 Eilers, Søren
4 Izumi, Masaki
4 Kasparov, Gennadi G.
4 Meyer, Ralf
4 Putnam, Ian F.
4 Skandalis, Georges
4 Smith, Samuel Bruce
4 Vaidyanathan, Prahlad
4 Wei, Changguo
4 Winter, Wilhelm
4 Yu, Guoliang
3 Álvarez López, Jesús Antonio
3 Chakraborty, Partha Sarathi
3 Gillaspy, Elizabeth
3 Gong, Guihua
3 Hua, Jiajie
3 Katsura, Takeshi
3 Kuribayashi, Katsuhiko
3 Li, Hui
3 Lück, Wolfgang
3 Mathai, Varghese
3 Matui, Hiroki
3 McKenney, Paul E.
3 Munkholm, Hans Jørgen
3 Oyono-Oyono, Hervé
3 Pal, Arupkumar
3 Pask, David
3 Rennie, Adam
3 Restorff, Gunnar
3 Seth, Apurva
3 Sims, Aidan
3 Suzuki, Yuhei
3 Szabo, Richard J.
3 Tikuisis, Aaron Peter
3 White, Stuart Andrew
3 Wu, Jianchao
2 Alvarez, Sébastien
2 An, Qingnan
2 Arano, Yuki
2 Azzali, Sara
2 Barral Lijó, Ramón
2 Bauer, Friedrich-Wilhelm
2 Beltiţă, Daniel
2 Beltiţă, Ingrid
2 Bönicke, Christian
2 Brown, Nathanial P.
2 Bukhshtaber, Viktor Matveevich
2 Castillejos, Jorge
2 Deeley, Robin J.
2 Dell’Ambrogio, Ivo
2 Deninger, Christopher
2 Dyer, Jessica
2 Evington, Samuel
2 Fisher, David Michael
2 Goffeng, Magnus
2 Hastings, Harold M.
2 Hayashi, Shin
2 Hegenbarth, Friedrich
2 Hirshberg, Ilan
2 Hunton, John Robert
2 Ida, Cristian
2 Kellendonk, Johannes
2 Kishimoto, Akitaka
2 Klein, John Robert
2 Kordyukov, Yuri A.
2 Kubota, Yosuke
2 Kwaśniewski, Bartosz Kosma
2 Li, Xin
2 Li, Zhiqiang
2 Liu, Junping
2 Liu, Shudong
2 Liu, Xiugui
2 Liu, Zhichao
2 Lupton, Gregory M.
2 Margulis, Grigoriĭ Aleksandrovich
2 Mesland, Bram
2 Nest, Ryszard
...and 286 more Authors
all top 5

Cited in 98 Serials

47 Journal of Functional Analysis
27 Transactions of the American Mathematical Society
22 Advances in Mathematics
20 \(K\)-Theory
16 Proceedings of the American Mathematical Society
15 Communications in Mathematical Physics
13 Journal of Pure and Applied Algebra
13 Topology and its Applications
11 International Journal of Mathematics
11 Journal of Noncommutative Geometry
9 Journal of Geometry and Physics
9 Journal für die Reine und Angewandte Mathematik
8 Journal of Topology and Analysis
8 Journal of \(K\)-Theory
7 Duke Mathematical Journal
7 Mathematische Annalen
7 Ergodic Theory and Dynamical Systems
6 Rocky Mountain Journal of Mathematics
6 Annales de l’Institut Fourier
5 Inventiones Mathematicae
5 Annals of \(K\)-Theory
4 Israel Journal of Mathematics
4 Journal of Mathematical Physics
4 Mathematische Zeitschrift
4 Indagationes Mathematicae. New Series
4 Annals of Mathematics. Second Series
4 Bulletin of the American Mathematical Society
4 Journal of Homotopy and Related Structures
3 Journal of Mathematical Analysis and Applications
3 Canadian Journal of Mathematics
3 Journal of Soviet Mathematics
3 Differential Geometry and its Applications
3 The New York Journal of Mathematics
3 Acta Mathematica Sinica. English Series
3 Algebraic & Geometric Topology
3 Journal of the Australian Mathematical Society
2 Bulletin of the Australian Mathematical Society
2 Letters in Mathematical Physics
2 Mathematical Notes
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Glasgow Mathematical Journal
2 Publications Mathématiques
2 Journal of Algebra
2 Mathematica Scandinavica
2 Mathematika
2 Memoirs of the American Mathematical Society
2 Pacific Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Forum Mathematicum
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Russian Journal of Mathematical Physics
2 Bulletin des Sciences Mathématiques
2 Kyoto Journal of Mathematics
2 Annals of Functional Analysis
1 Communications in Algebra
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reviews in Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Manuscripta Mathematica
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quaestiones Mathematicae
1 Tôhoku Mathematical Journal. Second Series
1 Bulletin of the Korean Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Annals of Global Analysis and Geometry
1 IMRN. International Mathematics Research Notices
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Expositiones Mathematicae
1 Topological Methods in Nonlinear Analysis
1 Applied Categorical Structures
1 St. Petersburg Mathematical Journal
1 Selecta Mathematica. New Series
1 Documenta Mathematica
1 Vietnam Journal of Mathematics
1 Geometry & Topology
1 Algebras and Representation Theory
1 Revista Matemática Complutense
1 Communications in Contemporary Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Oberwolfach Reports
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Physics A: Mathematical and Theoretical
1 Banach Journal of Mathematical Analysis
1 Analysis & PDE
1 Forum of Mathematics, Sigma
1 Bollettino dell’Unione Matematica Italiana
all top 5

Cited in 38 Fields

265 Functional analysis (46-XX)
100 \(K\)-theory (19-XX)
72 Algebraic topology (55-XX)
63 Global analysis, analysis on manifolds (58-XX)
50 Manifolds and cell complexes (57-XX)
42 Dynamical systems and ergodic theory (37-XX)
33 Differential geometry (53-XX)
27 Topological groups, Lie groups (22-XX)
24 Category theory; homological algebra (18-XX)
21 Operator theory (47-XX)
18 Group theory and generalizations (20-XX)
13 Quantum theory (81-XX)
11 Associative rings and algebras (16-XX)
9 General topology (54-XX)
7 Several complex variables and analytic spaces (32-XX)
6 Algebraic geometry (14-XX)
6 Convex and discrete geometry (52-XX)
5 Nonassociative rings and algebras (17-XX)
5 Abstract harmonic analysis (43-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Commutative algebra (13-XX)
3 Measure and integration (28-XX)
3 Partial differential equations (35-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Ordinary differential equations (34-XX)
2 Probability theory and stochastic processes (60-XX)
2 Optics, electromagnetic theory (78-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Difference and functional equations (39-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year