La conjecture de Baum–Connes à coefficients pour les groupes hyperboliques

By Vincent Lafforgue. 2012

69 citations recorded by the source corpus.

This paper gives a proof of the Baum-Connes conjecture with coefficients for hyperbolic groups. More precisely the injectivity of the Baum-Connes map was established by Kasparov and Skandalis and we prove the surjectivity.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2b760201ac0f8c613f2fb12ed8cce0ddf26c09aa

How researchers see this paper

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

In Applied Mathematics

1. Rufus Willett
2. E. Guentner
3. P. Baum
4. Nathanial P. Brown Narutaka Ozawa

In Geometry and Topology

1. Rufus Willett
2. E. Guentner
3. Martin Finn-Sell
4. Guoliang Yu
5. Nathanial P. Brown Narutaka Ozawa

In Mathematical Physics

1. Rufus Willett
2. E. Guentner
3. P. Baum
4. Guoliang Yu
5. Martin Finn-Sell
6. Nathanial P. Brown Narutaka Ozawa
7. N. Higson
8. Ján Špakula

Citations in the corpus

• Expanders, exact crossed products, and the Baum–Connes conjecture (2013, background): “It is known to be true for large classes of groups: see for example [26, 10, 31].”