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].
