Extended Affine Weyl groups, the Baum-Connes correspondence and Langlands duality
Extended Affine Weyl groups, the Baum-Connes correspondence and Langlands duality
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.
math.KT, math.OA, math.RT
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Wright, Nick
9f2fa5fe-f986-4672-a03b-ffb279e1760d
31 January 2016
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Wright, Nick
9f2fa5fe-f986-4672-a03b-ffb279e1760d
Niblo, Graham A., Plymen, Roger and Wright, Nick
(2016)
Extended Affine Weyl groups, the Baum-Connes correspondence and Langlands duality
(MIMS EPrint, 2016.2)
University of Manchester
35pp.
Record type:
Monograph
(Working Paper)
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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More information
In preparation date: 21 December 2015
Published date: 31 January 2016
Additional Information:
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
Keywords:
math.KT, math.OA, math.RT
Organisations:
Statistics, Mathematical Sciences, Pure Mathematics
Identifiers
Local EPrints ID: 410788
URI: http://eprints.soton.ac.uk/id/eprint/410788
ISSN: 1749-9097
PURE UUID: b99000da-fb68-44f2-b56b-35c83a2365f5
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Date deposited: 09 Jun 2017 09:39
Last modified: 16 Mar 2024 02:44
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Contributors
Author:
Nick Wright
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