JournalsjncgVol. 18, No. 1pp. 123–142

A short proof of an index theorem, II

  • Yavar Abdolmaleki

    University of New Brunswick, Fredericton, Canada

  • Dan Kucerovsky

    University of New Brunswick, Fredericton, Canada
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Abstract

We introduce a slight modification of the usual equivariant -theory. We use this to give a -theoretical proof of an equivariant index theorem for Dirac–Schrödinger operators on a non-compact manifold of nowhere positive curvature. We incidentally show that the boundary of Dirac is Dirac; generalizing earlier work of Baum and coworkers, and a result of Higson and Roe.

Cite this article

Yavar Abdolmaleki, Dan Kucerovsky, A short proof of an index theorem, II. J. Noncommut. Geom. 18 (2024), no. 1, pp. 123–142

DOI 10.4171/JNCG/524