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- catalog abstract "This book contains 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.".
- catalog contributor b13089723.
- catalog contributor b13089724.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Foreword -- Equivariant K-Homology of the Classifying Space for Proper Actions (Guido Mislin) -- On the Baum-Connes Map for Discrete Groups (Alain Valette).".
- catalog description "Includes bibliographical references and index.".
- catalog description "This book contains 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.".
- catalog extent "131 p. ;".
- catalog identifier "0817604081 (alk. paper)".
- catalog identifier "3764304081 (alk. paper)".
- catalog isPartOf "Advanced courses in mathematics, CRM Barcelona".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Basel ; Boston : Birkhäuser,".
- catalog subject "512.66 22".
- catalog subject "Algebraic topology.".
- catalog subject "Baum-Connes conjecture.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Group theory.".
- catalog subject "KK-theory.".
- catalog subject "Mathematics.".
- catalog subject "Operator algebras.".
- catalog subject "QA612.33 .M57 2003".
- catalog subject "Topological Groups.".
- catalog tableOfContents "Foreword -- Equivariant K-Homology of the Classifying Space for Proper Actions (Guido Mislin) -- On the Baum-Connes Map for Discrete Groups (Alain Valette).".
- catalog title "Proper group actions and the Baum-Connes conjecture / Guido Mislin, Alain Valette.".
- catalog type "text".