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Analytic and Reidemeister torsion for representations in finite type Hilbert modules

D. Burghelea·L. Friedlander·T. Kappeler·P. McDonald
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Abstract

For a closed Riemannian manifold we extend the definition of analytic and Reidemeister torsion associated to an orthogonal representation of fundamental group on a Hilbert module of finite type over a finite von Neumann algebra. If the representation is of determinant class we prove, generalizing the Cheeger-Müller theorem, that the analytic and Reidemeister torsion are equal. In particular, this proves the conjecture that for closed Riemannian manifolds with positive Novikov-Shubin invariants, the L2 analytic and Reidemeister torsions are equal.

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BibTeXRIS

D. Burghelea, L. Friedlander, T. Kappeler, P. McDonald. 1995-02-03. Analytic and Reidemeister torsion for representations in finite type Hilbert modules. https://arxiv.org/abs/dg-ga/9502001

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