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VON NEUMANN ETA-INVARIANTS AND C*-ALGEBRA K-THEORY

Published online by Cambridge University Press:  13 February 2001

NAVIN KESWANI
NAVIN KESWANI
Affiliation:
SFB 478, Hittorfstraße 27, 48149 Münster, Germany; keswani@math.uni-muenster.de
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Abstract

Let M be a smooth, compact, oriented, odd-dimensional Riemannian manifold and let Γ → Mˆ → M be a normal covering of M. It is proved that the relative von Neumann eta-invariant ρ(2)(Mˆ) of Cheeger and Gromov is a homotopy invariant when Γ is torsion-free, discrete and the Baum–Connes assembly map μmax[ratio ]K0(BΓ) → K0(C*Γ) is an isomorphism.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 771 - 783
Copyright
The London Mathematical Society 2000

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