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arXiv · 1711.10281

Poincar\'e duality and Langlands duality for extended affine Weyl groups

Graham A. Niblo·Roger Plymen·Nick Wright
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Abstract

In this paper we construct an equivariant Poincar\'e 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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Graham A. Niblo, Roger Plymen, Nick Wright. 2017-11-28. Poincar\'e duality and Langlands duality for extended affine Weyl groups. https://arxiv.org/abs/1711.10281

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