Poincare duality and Langlands duality for extended affine Weyl groups

被引：4

作者：

Niblo, Graham A. ^{[1
]}

Plymen, Roger ^{[1
]}

Wright, Nick ^{[1
]}

机构：

[1] Univ Southampton, Math Sci, Southampton, Hants, England

来源：

ANNALS OF K-THEORY | 2018年 / 3卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

Poincare duality; Langlands duality; extended affine Weyl groups;

D O I：

10.2140/akt.2018.3.491

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we construct an equivariant Poincare 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.

引用

页码：491 / 522

页数：32

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