The coarse index class with support
Differential Geometry
2025-05-14 v2 K-Theory and Homology
Abstract
We construct the coarse index class with support condition (as an element of coarse -homology) of an equivariant Dirac operator on a complete Riemannian manifold endowed with a proper, isometric action of a group. We further show a coarse relative index theorem and discuss the compatibility of the index with the suspension isomorphism.
Cite
@article{arxiv.1706.06959,
title = {The coarse index class with support},
author = {Ulrich Bunke and Alexander Engel},
journal= {arXiv preprint arXiv:1706.06959},
year = {2025}
}
Comments
42 pages: revised version, Section on graded $C^{*}$-categories and algebras added