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Birkhäuser

Introduction to the Baum-Connes Conjecture

  • Book
  • © 2002

Overview

Authors:
  1. Alain Valette

    1. Institut de Mathématiques, Université de Neuchâtel, Neuchâtel, Switzerland

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-x
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  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 KK Ban Theory

    • Alain Valette
    Pages 79-85

  12. Back Matter

    Pages 87-106
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Keywords

Reviews

"Overall, the book is a very valuable addition to the literature on the Baum-Connes conjecture. It is highly recommended reading for anyone interested in learning more about the conjecture, or who does research in areas related to it. Of course, the reader who wants to be an expert will eventually have to consult the original literature, but such is inevitable in a book of this size (around 100 pages) and not necessarily a bad thing."

--Mathematical Reviews

Authors and Affiliations

  • Institut de Mathématiques, Université de Neuchâtel, Neuchâtel, Switzerland

    Alain Valette

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