Proper Group Actions and the Baum-Connes Conjecture

Alain Valette

ISBN 10: 3764304081 / ISBN 13: 9783764304089

Verlag: Birkhäuser Basel, 2003

Beschreibung

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.

Bestandsnummer des Verkäufers 9783764304089

Bibliografische Details

• Titel: Proper Group Actions and the Baum-Connes Conjecture
• Verlag: Birkhäuser Basel
• Erscheinungsjahr: 2003
• Sprache: Englisch
• ISBN-10: 3764304081
• ISBN-13: 9783764304089
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.