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arXiv · 1801.04884

Chern Simons invariants in $KK$ theory

Omar Mohsen
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Abstract

For a unitary representation of the fundamental group of a compact smooth manifold, Atiyah, Patodi, Singer defined the so called alpha-invariant of the representation using Chern-Simons invariants. In this article using traces on C*-algebras, we define intrinsically(i.e without using Chern character) an element in KK-theory with real coefficients theory whose pullback by the representation is the alpha-invariant.

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BibTeXRIS

Omar Mohsen. 2018-01-15. Chern Simons invariants in $KK$ theory. https://doi.org/10.1016/j.jfa.2019.05.023

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