Proper Group Actions and the Baum-Connes Conjecture

Alain Valette

ISBN 10: 3764304081 / ISBN 13: 9783764304089

Edité par Birkhäuser Basel, 2003

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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.

N° de réf. du vendeur 9783764304089

Détails bibliographiques

• Titre: Proper Group Actions and the Baum-Connes Conjecture
• Éditeur: Birkhäuser Basel
• Date de parution: 2003
• Langue: anglais
• ISBN à 10 chiffres: 3764304081
• ISBN à 13 chiffres: 9783764304089
• Reliure: Taschenbuch
• État de l'article: Neu

A propos de ce titre

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.