Agenda de l’IDP

C*-académie

An explicit Baum-Connes conjecture for the wreath product of a finite group by a free group
Sanaz Pooya (Université de Neuchâtel)
Friday 19 January 2018 14:00 -  Orléans -  Salle de Séminaire

Résumé :
The Baum-Connes conjecture for a group G predicts that the assembly map μGi : KGi (EG) → Ki(Cr∗G) for i = 0, 1 is an isomorphism between two abelian groups. Thanks to work of Higson and Kasparov, we know that a-T-menable groups satisfy the conjecture, hence the group G = F ≀ Fn (wreath product of a finite group F by the free group Fn). In this talk, we try to give a clear picture of this isomorphism via an explicit approach. In particular, we describe the K-theory of Cr∗G, the equivariant K-homology of EG, and present their basis. Finally, we reprove the conjecture by comparing the two sides.

Liens :