TY - JOUR
T1 - An index theorem for higher orbital integrals
AU - Hochs, Peter
AU - Song, Yanli
AU - Tang, Xiang
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2022/2
Y1 - 2022/2
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85110863390
U2 - 10.1007/s00208-021-02233-3
DO - 10.1007/s00208-021-02233-3
M3 - Article
AN - SCOPUS:85110863390
SN - 0025-5831
VL - 382
SP - 169
EP - 202
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 1-2
ER -