Proper group actions and the Baum-Connes conjecture
Author(s)
Bibliographic Information
Proper group actions and the Baum-Connes conjecture
（Advanced courses in mathematics CRM Barcelona）
Birkhäuser, c2003
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
A concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the reduced C^*-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. The approach is expository, but it contains proofs of many basic results on topological K-homology and the K-theory of C^*-algebras. It features a detailed introduction to Bredon homology for infinite groups, with applications to K-homology. It also contains a detailed discussion of naturality questions concerning the assembly map, a topic not well documented in the literature.
The book is aimed at advanced graduate students and researchers in the area, leading to current research problems.
Table of Contents
Equivariant K-Homology of the Classifying Space for Proper Actions.- On the Baum-Connes Assembly Map for Discrete Groups.
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