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Topological equivariant
coarse $K\mkern-2mu$-homology
Ulrich Bunke and Alexander Engel |
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Vol. 8 (2023), No. 2, 141–220
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Abstract |
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For a -category with a strict -action we construct examples of equivariant coarse homology theories. To this end we first introduce versions of Roe categories of objects in -categories which are controlled over bornological coarse spaces, and then apply a homological functor. These equivariant coarse homology theories are then employed to verify that certain functors on the orbit category are CP-functors. This fact has consequences for the injectivity of assembly maps. |
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Keywords
coarse homology, $K\mkern-2mu$-theory
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Mathematical Subject Classification
Primary: 19K99, 46L80, 51F30
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Milestones
Received: 10 February 2022
Revised: 10 April 2023
Accepted: 2 May 2023
Published: 14 June 2023
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Authors |
| Ulrich Bunke | |
| Fakultät für Mathematik Universität Regensburg Regensburg Germany |
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| Alexander Engel | |
| Institut für Mathematik und
Informatik Universität Greifswald Greifswald Germany |
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| © 2023 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
