Extended Affine Weyl groups, the Baum-Connes correspondence and Langlands duality
K-Theory and Homology
2016-01-13 v2 Operator Algebras
Representation Theory
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.
Keywords
Cite
@article{arxiv.1512.06662,
title = {Extended Affine Weyl groups, the Baum-Connes correspondence and Langlands duality},
author = {Graham A. Niblo and Roger Plymen and Nick Wright},
journal= {arXiv preprint arXiv:1512.06662},
year = {2016}
}
Comments
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