ENGLISH

Proper group actions and the Baum-Connes conjecture

By Alain Valette , Guido Mislin

Book information

Publisher
Birkhäuser
Year
2003
ISBN
3764304081, 9783764304089, 0817604081
Open Library ID
OL9089844M
Language
english
Format
DJVU
Filesize
14 MB (15046118 bytes)
Series
Advanced courses in mathematics, CRM Barcelona
Edition
1
Pages
69\69
Time added
2009-08-06 05:14:26

Description

This book contains 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.

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