Representation Theory and Noncommutative Geometry, Paris

The Baum-Connes conjecture for real reductive groups 8/10

6 févr. 2025, 11:00

1h

Amphitheater Darboux (IHP)

Orateur

Nigel Higson (Penn State University)

Description

Lafforgue’s Banach version of KK-theory

The C-algebra of a group, versus other convolution Banach algebras. Homotopies of unitary representations versus homotopies of Banach representations. Examples and action of the reduced C-algebra on $L^p$ spaces. Review of the role of compact operators in Kasparov theory. Dual pairs of Banach spaces and operators of compact type. Lafforgue’s version of Kasparov’s representation ring.