2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152153We prove an index theorem concerning the pushforward of flat B-vector bundles, where B is an appropriate algebra. We construct the associated analytic torsion form T. If Z is a smooth closed aspherical manifold, we show that T gives invariants of the homotopy groups of Diff(Z).54 pages, AMS-LatexDifferential Geometrytext