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Poincaré duality and Langlands duality for extended affine Weyl groups

Poincaré duality and Langlands duality for extended affine Weyl groups
Poincaré duality and Langlands duality for extended affine Weyl groups
In this paper we construct an equivariant Poincaré duality between dual tori equipped with finite group actions. We use this to demonstrate that Langlands duality induces a rational isomorphism between the group C*-algebras of extended affine Weyl groups at the level of K-theory.
K-theory, extended affine Wayl groups, Langlands duality, Poincaré duality, Baum-Connes conjecture
491-522
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Wright, Nicholas
f4685b8d-7496-47dc-95f0-aba3f70fbccd
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Wright, Nicholas
f4685b8d-7496-47dc-95f0-aba3f70fbccd

Niblo, Graham A., Plymen, Roger and Wright, Nicholas (2018) Poincaré duality and Langlands duality for extended affine Weyl groups. Annals of K-Theory, 3 (3), 491-522. (doi:10.2140/akt.2018.3.491).

Record type: Article

Abstract

In this paper we construct an equivariant Poincaré duality between dual tori equipped with finite group actions. We use this to demonstrate that Langlands duality induces a rational isomorphism between the group C*-algebras of extended affine Weyl groups at the level of K-theory.

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affineweyl-Annals-of-K-theory-accepted - Accepted Manuscript
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Accepted/In Press date: 27 November 2017
e-pub ahead of print date: 16 July 2018
Published date: 16 July 2018
Keywords: K-theory, extended affine Wayl groups, Langlands duality, Poincaré duality, Baum-Connes conjecture
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Identifiers

Local EPrints ID: 415962
URI: http://eprints.soton.ac.uk/id/eprint/415962
DOI: doi:10.2140/akt.2018.3.491
PURE UUID: fcec58fa-8bfc-4e2d-b762-3e22ec09d4ba
ORCID for Graham A. Niblo: ORCID iD orcid.org/0000-0003-0648-7027
ORCID for Nicholas Wright: ORCID iD orcid.org/0000-0003-4884-2576

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Date deposited: 29 Nov 2017 17:30
Last modified: 16 Mar 2024 05:58

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Contributors

Author: Graham A. Niblo ORCID iD
Author: Roger Plymen
Author: Nicholas Wright ORCID iD

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