ArticleOriginal scientific text
Title
On analytic torsion over C*-algebras
Authors 1, 1, 2
Affiliations
- Department of Pure Mathematics, University of Adelaide, Adelaide 5005, Australia
- Department of Mathematics, Moscow State University, 117 234 Moscow, Russia
Abstract
In this paper, we present an analytic definition for the relative torsion for flat C*-algebra bundles over a compact manifold. The advantage of such a relative torsion is that it is defined without any hypotheses on the flat C*-algebra bundle. In the case where the flat C*-algebra bundle is of determinant class, we relate it easily to the L^2 torsion as defined in [7],[5].
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