WorldCat Identities

Cuntz, Joachim 1940-

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 K-theory by Joachim Cuntz( Book )

19 editions published between 2000 and 2007 in English and held by 154 WorldCat member libraries worldwide

Topological K-theory 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 K-theory. We describe a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, we discuss other approaches to bivariant K-theories for operator algebras. As applications, we study K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer 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

Cyclic homology in non-commutative 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) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. This includes an outline of a framework for bivariant K-theory 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 Connes-Moscovici and of Bressler-Nest-Tsygan) is given and the concepts and ideas involved in the proof of these theorems are explained
C*-algebras : proceedings of the SFB-Workshop on C*-Algebras, Münster, Germany, March 8-12, 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 SFB-Workshop 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, K-theory, exact C*-algebras and exact groups, Cuntz-Krieger-Pimsner algebras, group C*-algebras, the Baum-Connes conjecture and others
Audience Level
Audience Level
  Kids General Special  
Audience level: 0.64 (from 0.55 for Topologica ... to 0.88 for Die Unzula ...)

Topological and bivariant K-theory
English (34)

German (9)

Cyclic homology in non-commutative geometryC*-algebras : proceedings of the SFB-Workshop on C*-Algebras, Münster, Germany, March 8-12, 1999