An index theorem for higher orbital integrals
An index theorem for higher orbital integrals
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DOI：
10.1007/s00208-021-02233-3
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发表时间：
2021-07
影响因子：
1.4
通讯作者：
P. Hochs;Yanli Song;Xiang Tang
中科院分区：
文献类型：
--
作者：
P. Hochs;Yanli Song;Xiang Tang
最近，本文的两位作者在线性约化李群的Harish-Chandra Schwartz代数上构造了循环上圈，从而检测了相应的群代数的K-理论中的所有信息。本文的主要结果是一个指数公式，这些上循环的配对与等变指数的椭圆算子的正常，上紧行动。该指数公式通过拓扑表达式完全确定了这种等变指数。
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 theK-theory of the corresponding group-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.