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

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arxiv 1512.06662 v2 pith:YA7NJNKJ submitted 2015-12-21 math.KT math.OAmath.RT

Graham A. Niblo , Roger Plymen , Nick Wright This is my paper · ORCID
classification math.KTmath.OAmath.RT
keywords affinebaum-connescorrespondencedualityextendedgroupgroupslanglands
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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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  1. Groups with Spanier-Whitehead duality

    math.KT 2019-08 conditional novelty 6.0 of 10

    For groups with a gamma element, Spanier-Whitehead K-duality holds exactly when the strong Baum-Connes conjecture holds, and all a-T-menable groups with a G-compact model of EG satisfy this duality.

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