Banach KK-theory and the Baum-Connes conjecture

By Vincent Lafforgue. 2003

60 citations recorded by the source corpus.

The report below describes the applications of Banach KK-theory to a conjecture of P. Baum and A. Connes about the K-theory of group C*-algebras.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/46d5a0b7856435463bb6ff7c1a5530c5545df148

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. W. Lück
2. H. Reich
3. Arthur Bartels
4. M. Kreck

In Mathematical Physics

1. W. Lück
2. H. Reich
3. Arthur Bartels
4. Christian Wegner
5. Hanfeng Li
6. Michael W. Davis
7. Damien Gaboriau
8. Ben Hayes

Citations in the corpus

• The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory (2004, methodology): “Unpublished proof with coefficients by V. Lafforgue ? injectivity is true after inverting 2 (see Propositions 74 and 95) one-relator groups true with coefficients (see Theorem 121) rational injectivity is true for the fibered version (see [20]) injectivity is true after inverting 2 (see Propositions”