Title
Proper Group Actions and the BaumConnes Conjecture (Advanced Courses in Mathematics CRM Barcelona),Used
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A concise introduction to the techniques used to prove the BaumConnes conjecture. The BaumConnes conjecture predicts that the Khomology of the reduced C^*algebra of a group can be computed as the equivariant Khomology of the classifying space for proper actions. The approach is expository, but it contains proofs of many basic results on topological Khomology and the Ktheory of C^*algebras. It features a detailed introduction to Bredon homology for infinite groups, with applications to Khomology. 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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