An index theorem for higher orbital integrals

被引：1
作者：
Hochs, Peter [1 ]
Song, Yanli [2 ]
Tang, Xiang [2 ]
机构：
[1] Radboud Univ Nijmegen, Heyendaalseweg 135, NL-6525 AJ Nijmegen, Netherlands
[2] Washington Univ, St Louis, MO 63110 USA
来源：
MATHEMATISCHE ANNALEN | 2022年 / 382卷 / 1-2期
基金：
澳大利亚研究理事会;
关键词：
IRREDUCIBLE TEMPERED REPRESENTATIONS; PROPER ACTIONS; DISCRETE-SERIES; K-THEORY; CLASSIFICATION; RESTRICTION; CONJECTURE; L2-INDEX; OPERATOR;
D O I：
10.1007/s00208-021-02233-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, two of the authors of this paper constructed cyclic cocycles on Harish-Chandra's Schwartz algebra of linear reductive Lie groups that detect all information in the K-theory of the corresponding group C*-algebra. The main result in this paper is an index formula for the pairings of these cocycles with equivariant indices of elliptic operators for proper, cocompact actions. This index formula completely determines such equivariant indices via topological expressions.
引用
收藏
页码：169 / 202
页数：34
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