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Injectivity results for coarse homology theories

Injectivity results for coarse homology theories
Injectivity results for coarse homology theories
We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class of linear groups or, more generally, groups with finite decomposition complexity.
19D50 (primary), 20F65, 20F69 (secondary)
0024-6115
1619-1684
Bunke, Ulrich
b5755b35-f32f-4ec9-bb46-ded3cfd42faa
Engel, Alexander
fc6fd4f0-2233-498a-8292-d32b7a082aa5
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Winges, Christoph
347e42cd-fbb9-4dfc-80e3-84c79eb5696a
Bunke, Ulrich
b5755b35-f32f-4ec9-bb46-ded3cfd42faa
Engel, Alexander
fc6fd4f0-2233-498a-8292-d32b7a082aa5
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Winges, Christoph
347e42cd-fbb9-4dfc-80e3-84c79eb5696a

Bunke, Ulrich, Engel, Alexander, Kasprowski, Daniel and Winges, Christoph (2020) Injectivity results for coarse homology theories. Proceedings of the London Mathematical Society, 121 (6), 1619-1684. (doi:10.1112/plms.12380).

Record type: Article

Abstract

We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class of linear groups or, more generally, groups with finite decomposition complexity.

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More information

Accepted/In Press date: 15 June 2020
Published date: 1 December 2020
Related URLs:
Keywords: 19D50 (primary), 20F65, 20F69 (secondary)

Identifiers

Local EPrints ID: 478545
URI: http://eprints.soton.ac.uk/id/eprint/478545
DOI: doi:10.1112/plms.12380
ISSN: 0024-6115
PURE UUID: 66e0f308-9a44-4a74-92ba-4ff89daa53dc
ORCID for Daniel Kasprowski: ORCID iD orcid.org/0000-0001-5926-2206

Catalogue record

Date deposited: 04 Jul 2023 17:48
Last modified: 17 Mar 2024 04:19

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Contributors

Author: Ulrich Bunke
Author: Alexander Engel
Author: Daniel Kasprowski ORCID iD
Author: Christoph Winges

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