Introduction to the Baum-Connes Conjecture

  • Alain Valette
Book

Part of the Lectures in Mathematics ETH Zürich book series (LM)

Table of contents

  1. Front Matter
    Pages i-x
    PDF
  2. A Biased Motivation: Idempotents in Group Algebras
    Alain Valette
    Pages 1-5
  3. What is the Baum-Connes Conjecture?
    Alain Valette
    Pages 7-13
  4. K-theory for (Group) C*-algebras
    Alain Valette
    Pages 15-25
  5. The Classifying Space for Proper Actions, and its Equivariant K-homology
    Alain Valette
    Pages 27-39
  6. Kasparov’s Equivariant KK-theory
    Alain Valette
    Pages 41-46
  7. The Analytical Assembly Map
    Alain Valette
    Pages 47-56
  8. Some Examples of the Assembly Map
    Alain Valette
    Pages 57-62
  9. A Glimpse into Non-commutative Geometry: Property (RD)
    Alain Valette
    Pages 63-72
  10. The Dirac-dual Dirac Method
    Alain Valette
    Pages 73-78
  11. Lafforgue’s KKBan Theory
    Alain Valette
    Pages 79-85
  12. Back Matter
    Pages 87-106
    PDF

About this book

Keywords

Algebraic topology K-theory Non-commutative geometry algebra group algebras group theory homology

Authors and affiliations

  • Alain Valette
    • 1
  1. 1.Institut de MathématiquesUniversité de NeuchâtelNeuchâtelSwitzerland

Bibliographic information