On analytic torsion over C*-algebras

Volume 49 / 1999

Alan Carey, Varghese Mathai, Alexander Mishchenko Banach Center Publications 49 (1999), 43-67 DOI: 10.4064/-49-1-43-67


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].


  • Alan Carey
  • Varghese Mathai
  • Alexander Mishchenko

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