Tempered representations and K-theory

Topological K-theory of reductive p-adic groups

27 févr. 2025, 11:00

1h

Amphithéâtre Hermite (Institut Henri Poincaré)

Orateur

Maarten Solleveld (Radboud Universiteit Nijmegen)

Description

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.