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 mathématiquesIntervenant-e-s
Sanaz Pooya, Université de Neuchâtelentrée libre