An explicit proof of the Baum-Connes conjecture for some wreath products (Sanaz Pooya, Université de Neuchâtel)

17.04.2018 10:30

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 of abelian groups. Due to Higson and Kasparov’s result, all a-T-menable groups satisfy the conjecture, hence the group G = F ≀ Fn. This result however does not describe the K-groups. In this talk, we shed light on the assembly map for this group and describe it explicitly. This means that we compute the K-theory of Cr∗G and the equivariant K-homology of EG, and present their bases. In doing so we reprove the conjecture for this group.

Lieu

Room 623, Séminaire "Groupes et Géométrie"

Organisé par

Section de mathématiques

Intervenants

Sanaz Pooya, Université de Neuchâtel

entrée libre

Classement

Catégorie: Séminaire

Mots clés: groupes et géométrie