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arXiv · 1706.06959

The coarse index class with support

Ulrich Bunke·Alexander Engel
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Abstract

We construct the coarse index class with support condition (as an element of coarse $K$-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.

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Ulrich Bunke, Alexander Engel. 2024-03-29. The coarse index class with support. https://doi.org/10.2140/tunis.2025.7.339

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