Thursday 2 February 2017, 16:00 - 17:00 in HG03.085
Kang Li (Universität Münster)
The orbit method for the Baum-Connes conjecture
The orbit method for the Baum-Connes conjecture was first developed by
Chabert and Echterhoff in the study of permanence properties for the
Baum-Connes conjecture. Together with Nest they were able to apply the
orbit method to verify the conjecture for almost connected groups and
In this talk, we will discuss how to prove the Baum-Connes conjecture for linear algebraic groups over local fields of positive characteristic along the same idea. It turns out that the unitary representation theory of unipotent groups plays an essential role in the proof. As an example, we will concentrate on the Jacobi group, which is the semi-direct product of the symplectic group with the Heisenberg group. It is well-known that the Jacobi group has Kazhdans property (T), which is an obstacle to prove the Baum-Connes conjecture.