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## On analytic torsion over C*-algebras

### Volume 49 / 1999

Banach Center Publications 49 (1999), 43-67 DOI: 10.4064/-49-1-43-67

#### 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].

#### Authors

• Alan Carey
• Varghese Mathai
• Alexander Mishchenko

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