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.
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页码：491 / 522
页数：32
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