Chern-Simons invariants in KK-theory

被引：0
|
作者：
Mohsen, Omar
机构：
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2019年 / 277卷 / 11期
关键词：
Chern-Simons invariants; KK-theory; Lie groupoids; Von Neumann algebras; DIFFERENTIAL CHARACTERS; SPECTRAL ASYMMETRY; ETA-INVARIANTS; BUNDLES; FORMS;
D O I：
10.1016/j.jfa.2019.05.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a unitary representation phi of the fundamental group of a compact smooth manifold, Atiyah, Patodi, Singer defined the so called alpha-invariant of phi using the Chern-Simons invariants. In this article using traces on C*-algebras, we give an intrinsic definition of an element in KK with real coefficients theory whose pullback by the representation phi is the alpha-invariant. (C) 2019 Elsevier Inc. All rights reserved.
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页数：17
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