The index of projective families of elliptic operators

Abstract

An index theory for projective families of elliptic pseudodifferential operators is developed. The topological and the analytic index of such a family both take values in twisted K-theory of the parametrizing space, X. The main result is the equality of these two notions of index when the twisting class is in the torsion subgroup of H^3(X;Z). The Chern character of the index class is then computed.

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper11.abs.html

References in corpus (1)

• Twisted K-theory and K-theory of bundle gerbes

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