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The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited

The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited
The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited
We generalize the proof of the Farrell-Jones conjecture for CAT(0)-groups to a larger class of groups, for example also containing all groups that act properly and cocompactly on a finite product of hyperbolic graphs. In particular, this gives a unified proof of the Farrell-Jones conjecture for CAT(0)- and hyperbolic groups.
CAT(0)-groups, Farrell-Jones conjecture, hyperbolic groups
1793-5253
551-569
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Rüping, Henrik
1373fb12-d0ac-4c19-bb78-9f54cf04ce05
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Rüping, Henrik
1373fb12-d0ac-4c19-bb78-9f54cf04ce05

Kasprowski, Daniel and Rüping, Henrik (2017) The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited. Journal of Topology and Analysis, 9 (4), 551-569. (doi:10.1142/S1793525317500236).

Record type: Article

Abstract

We generalize the proof of the Farrell-Jones conjecture for CAT(0)-groups to a larger class of groups, for example also containing all groups that act properly and cocompactly on a finite product of hyperbolic graphs. In particular, this gives a unified proof of the Farrell-Jones conjecture for CAT(0)- and hyperbolic groups.

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More information

Accepted/In Press date: 8 April 2016
Published date: 1 December 2017
Keywords: CAT(0)-groups, Farrell-Jones conjecture, hyperbolic groups

Identifiers

Local EPrints ID: 478536
URI: http://eprints.soton.ac.uk/id/eprint/478536
ISSN: 1793-5253
PURE UUID: bda1204f-719f-4455-83ed-07b0d822f8e7
ORCID for Daniel Kasprowski: ORCID iD orcid.org/0000-0001-5926-2206

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

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Contributors

Author: Daniel Kasprowski ORCID iD
Author: Henrik Rüping

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