Analytic and topological index maps with values in the -theory of mapping cones

  • Robin J. Deeley

    University of Hawaii, Honolulu, USA

Abstract

Index maps taking values in the -theory of a mapping cone are defined and discussed. The resulting index theorem can be viewed in analogy with the Freed–Melrose index theorem. The framework of geometric -homology is used in a fundamental way. In particular, an explicit isomorphism from a geometric model for -homology with coefficients in a mapping cone, , to is constructed.

Cite this article

Robin J. Deeley, Analytic and topological index maps with values in the -theory of mapping cones. J. Noncommut. Geom. 10 (2016), no. 2, pp. 681–708

DOI 10.4171/JNCG/245