Analytic and Reidemeister torsion for representations in finite type Hilbert modules

Simple item page
dc.creatorBurghelea, D.
dc.creatorFriedlander, L.
dc.creatorKappeler, T.
dc.creatorMcDonald, P.
dc.date1995-02-03
dc.date.accessioned2026-07-07T09:12:30Z
dc.date.available2026-07-07T09:12:30Z
dc.descriptionFor 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.
dc.description78 pages, AMSTeX
dc.identifierhttps://arxiv.org/abs/dg-ga/9502001
dc.identifierhttp://arxiv.org/abs/dg-ga/9502001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152039
dc.subjectDifferential Geometry
dc.titleAnalytic and Reidemeister torsion for representations in finite type Hilbert modules
dc.typetext

Files

Collections

arXiv