A short proof of an index theorem, II
Yavar Abdolmaleki
University of New Brunswick, Fredericton, CanadaDan 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