The goal of this talk is a simple, concrete description of the topological K-theory of the reduced C*-algebra of a reductive p-adic group $G$, in terms coming from representation theory.
We will discuss the structure of several group algebras of $G$, and how the K-theory can be computed from the space of irreducible tempered $G$-representations. The final description is closely related to conjectures by Aubert-Baum-Plymen-Solleveld.
De Ada Masters
De Xiang Tang
De Jacob Bradd
De Anne-Marie Aubert
De Alain Connes
De Vincent Lafforgue
