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Topological invariance of the homological index

Carey, Alan; Kaad, Jens


R. W. Carey and J. Pincus in [6] proposed an index theory for non-Fredholm bounded operators T on a separable Hilbert space H such that TT∗−T∗T is in the trace class. We showed in [3] using Dirac-type operators acting on sections of bundles over R2n that we could construct bounded operators T satisfying the more general condition that the operator (1−TT∗)n−(1−T∗T)n is in the trace class. We proposed there a ‘homological index’ for these Dirac-type operators given by Tr((1−TT∗)n−(1−T∗T)n). In...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: Journal fur Reine und Angewandte Mathematik
DOI: 10.1515/crelle-2014-0132


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