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Proper Group Actions and the Baum-Connes Conjecture
Paperback
Series: Advanced Courses in Mathematics - Crm Barcelona
ISBN13: 9783764304089
Publisher: Birkhauser
Published: Jul 23 2003
Pages: 131
Weight: 0.90
Height: 0.40 Width: 6.60 Depth: 9.30
Language: English
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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