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

preprint2016arXivOpen access

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.

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