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arXiv · 1902.04947

Localization for coarse homology theories

Ulrich Bunke·Luigi Caputi
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Abstract

We introduce the notion of a Bredon-style equivariant coarse homology theory. We show that such a Bredon-style equivariant coarse homology theory satisfies localization theorems and that a general equivariant coarse homology theory can be approximated by a Bredon-style version. We discuss the special case of algebraic and topological equivariant coarse $K$-homology and obtain the coarse analog of Segal's localization theorem.

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Ulrich Bunke, Luigi Caputi. 2019-02-13. Localization for coarse homology theories. https://doi.org/10.2140/akt.2024.9.41

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