Proper Group Actions and the Baum-Connes Conjecture

Guido Mislin

ISBN 10: 3764304081 / ISBN 13: 9783764304089

Published by Springer, Basel, Birkhäuser Basel, Birkhäuser Jul 2003, 2003

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 140 pp. Englisch.

Seller Inventory # 9783764304089

Bibliographic Details

• Title: Proper Group Actions and the Baum-Connes Conjecture
• Publisher: Springer, Basel, Birkhäuser Basel, Birkhäuser Jul 2003
• Publication Date: 2003
• Language: English
• ISBN 10: 3764304081
• ISBN 13: 9783764304089
• Binding: Taschenbuch
• Condition: Neu

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.