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Proper Group Actions and the Baum-Connes Conjecture, Paperback / softback Book

Proper Group Actions and the Baum-Connes Conjecture Paperback / softback

Part of the Advanced Courses in Mathematics - CRM Barcelona series

Paperback / softback

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.

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