Breaking symmetries for equivariant coarse homology theories

Bunke, Ulrich and Ludewig, Matthias (2024) Breaking symmetries for equivariant coarse homology theories. JOURNAL OF GEOMETRY AND PHYSICS, 201: 105214. ISSN 0393-0440, 1879-1662

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Abstract

We describe a symmetry breaking construction in coarse geometry which allows to obtain information about equivariant coarse homology classes by restriction to smaller groups and spaces. In the case of equivariant coarse K -homology theory we give an analytic interpretation of this construction. As a consequence we obtain applications to the spectral theory of invariant differential operators. (c) 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

Item Type: Article
Uncontrolled Keywords: POSITIVE SCALAR CURVATURE; MAPS; Coarse geometry; Homology theory; Roe algebra; Spectral theory
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Ulrich Bunke
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Jul 2025 06:57
Last Modified: 15 Jul 2025 06:57
URI: https://pred.uni-regensburg.de/id/eprint/63502

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