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

Niblo, Graham and Plymen, Roger and Wright, Nick (2016) Extended affine Weyl groups, the Baum-Connes correspondence and Langlands duality. [MIMS Preprint]

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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.

Item Type: MIMS Preprint
Uncontrolled Keywords: Compact semisimple group, Langlands dual, affine Weyl group, Kasparov product
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 19 K-theory
MSC 2010, the AMS's Mathematics Subject Classification > 22 Topological groups, Lie groups
Depositing User: Professor Roger Plymen
Date Deposited: 19 Jan 2016
Last Modified: 20 Oct 2017 14:13
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2430

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