Extended Affine Weyl groups, the Baum-Connes correspondence and Langlands duality

Abstract

In this paper we consider the Baum-Connes correspondence for the affine and extended affine Weyl groups of a compact connected semisimple Lie group. We show that the Baum-Connes correspondence in this context arises from Langlands duality for the Lie group.

Updated to take account of a number of small changes suggested by Maarten Solleveld, and to include a reference to his thesis, which contains a number of very interesting examples including the illustrative example given in section 2 of our paper

Cited by in corpus (2)

• Groups with Spanier-Whitehead duality
• Stratified Langlands duality in the $A_n$ tower