Proper Group Actions and the Baum-Connes Conjecture (Advanced Courses in Mathematics - CRM Barcelona)

Mislin, Guido/ Misin, G./ Valette, Alain

ISBN 10: 3764304081 / ISBN 13: 9783764304089

Published by Birkhauser, 2003

About this Item

1st edition. 131 pages. 9.25x6.50x0.50 inches. In Stock.

Seller Inventory # x-3764304081

Bibliographic Details

• Title: Proper Group Actions and the Baum-Connes Conjecture (Advanced Courses in Mathematics - CRM Barcelona)
• Publisher: Birkhauser
• Publication Date: 2003
• Language: English
• ISBN 10: 3764304081
• ISBN 13: 9783764304089
• Binding: Paperback
• Condition: Brand New
• Weight: 0.41 kilograms

About this title

Synopsis

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.