Proper Group Actions and the Baum-Connes Conjecture
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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.
Format:Paperback
Language:English
ISBN:3764304081
ISBN13:9783764304089
Release Date:July 2003
Publisher:Birkhauser
Length:131 Pages
Weight:0.90 lbs.
Dimensions:0.4" x 6.6" x 9.3"
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