Cuntz, Joachim 1940
Overview
Works:  4 works in 44 publications in 2 languages and 739 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Other 
Classifications:  QA612.3, 514.23 
Publication Timeline
.
Most widely held works by
Joachim Cuntz
Topological and bivariant Ktheory by
Joachim Cuntz(
Book
)
19 editions published between 2000 and 2007 in English and held by 154 WorldCat member libraries worldwide
Topological Ktheory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic Ktheory. We describe a bivariant Ktheory for bornological algebras, which provides a vast generalization of topological Ktheory. In addition, we discuss other approaches to bivariant Ktheories for operator algebras. As applications, we study Ktheory of crossed products, the BaumConnes assembly map, twisted Ktheory with some of its applications, and some variants of the AtiyahSinger Index Theorem
19 editions published between 2000 and 2007 in English and held by 154 WorldCat member libraries worldwide
Topological Ktheory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic Ktheory. We describe a bivariant Ktheory for bornological algebras, which provides a vast generalization of topological Ktheory. In addition, we discuss other approaches to bivariant Ktheories for operator algebras. As applications, we study Ktheory of crossed products, the BaumConnes assembly map, twisted Ktheory with some of its applications, and some variants of the AtiyahSinger Index Theorem
Die Unzulässigkeit von Betriebsvereinbarungen bei bestehender Tarifüblichkeit by
Joachim Cuntz(
Book
)
8 editions published between 1969 and 1970 in German and Undetermined and held by 40 WorldCat member libraries worldwide
8 editions published between 1969 and 1970 in German and Undetermined and held by 40 WorldCat member libraries worldwide
Cyclic homology in noncommutative geometry by
Joachim J. R Cuntz(
Book
)
9 editions published between 2004 and 2011 in English and German and held by 32 WorldCat member libraries worldwide
This volume contains contributions by three authors and treats aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different and complementary points of view. The connections between topological (bivariant) Ktheory and cyclic theory via generalized Cherncharacters are discussed in detail. This includes an outline of a framework for bivariant Ktheory on a category of locally convex algebras. On the other hand, cyclic theory is the natural setting for a variety of general index theorems. A survey of such index theorems (including the abstract index theorems of ConnesMoscovici and of BresslerNestTsygan) is given and the concepts and ideas involved in the proof of these theorems are explained
9 editions published between 2004 and 2011 in English and German and held by 32 WorldCat member libraries worldwide
This volume contains contributions by three authors and treats aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different and complementary points of view. The connections between topological (bivariant) Ktheory and cyclic theory via generalized Cherncharacters are discussed in detail. This includes an outline of a framework for bivariant Ktheory on a category of locally convex algebras. On the other hand, cyclic theory is the natural setting for a variety of general index theorems. A survey of such index theorems (including the abstract index theorems of ConnesMoscovici and of BresslerNestTsygan) is given and the concepts and ideas involved in the proof of these theorems are explained
C*algebras : proceedings of the SFBWorkshop on C*Algebras, Münster, Germany, March 812, 1999 by
Joachim Cuntz(
Book
)
8 editions published in 2000 in English and German and held by 13 WorldCat member libraries worldwide
This book represents the refereed proceedings of the SFBWorkshop on C*Algebras which was held at Münster in March 1999. It contains articles by some of the best researchers on the subject of C*algebras about recent developments in the field of C*algebra theory and its connections to harmonic analysis and noncommutative geometry. Among the contributions there are several excellent surveys and overviews and some original articles covering areas like the classification of C*algebras, Ktheory, exact C*algebras and exact groups, CuntzKriegerPimsner algebras, group C*algebras, the BaumConnes conjecture and others
8 editions published in 2000 in English and German and held by 13 WorldCat member libraries worldwide
This book represents the refereed proceedings of the SFBWorkshop on C*Algebras which was held at Münster in March 1999. It contains articles by some of the best researchers on the subject of C*algebras about recent developments in the field of C*algebra theory and its connections to harmonic analysis and noncommutative geometry. Among the contributions there are several excellent surveys and overviews and some original articles covering areas like the classification of C*algebras, Ktheory, exact C*algebras and exact groups, CuntzKriegerPimsner algebras, group C*algebras, the BaumConnes conjecture and others
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Rosenberg, Jonathan M. (Jonathan Micah) 1951
 Meyer, Ralf
 Skandalis, Georges
 Tsygan, Boris
 Echterhoff, Siegfried Editor
 SpringerLink (Service en ligne)
 SpringerLink (Online service)
 Sonderforschungsbereich Geometrische Strukturen in der Mathematik (<Münster, Westfalen>) Other
 Workshop on C Algebras (<1999, Münster, Westfalen>) Other
 Universität Frankfurt am Main Fakultät der Johann WolfgangGoethe