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The first ℓ2-Betti number and groups acting on trees

The first ℓ2-Betti number and groups acting on trees
The first ℓ2-Betti number and groups acting on trees
We generalise results of Thomas, Allcock, Thom-Petersen, and Kar-Niblo to the first ℓ2-Betti number of quotients of certain groups acting on trees by subgroups with free actions on the edge sets of the graphs.
math.GR, 20J05, 20E08, 20F05
Chatterji, Indira
12ac09c3-3bf9-4d5e-b1ac-fc4ddd6b017a
Hughes, Sam
a41196d7-14a9-42f8-b6c1-95e00f98910a
Kropholler, Peter
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Chatterji, Indira
12ac09c3-3bf9-4d5e-b1ac-fc4ddd6b017a
Hughes, Sam
a41196d7-14a9-42f8-b6c1-95e00f98910a
Kropholler, Peter
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4

Chatterji, Indira, Hughes, Sam and Kropholler, Peter (2020) The first ℓ2-Betti number and groups acting on trees. arXiv. (In Press)

Record type: Article

Abstract

We generalise results of Thomas, Allcock, Thom-Petersen, and Kar-Niblo to the first ℓ2-Betti number of quotients of certain groups acting on trees by subgroups with free actions on the edge sets of the graphs.

Text
2012.13368v1 - Accepted Manuscript
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More information

Accepted/In Press date: 24 December 2020
Additional Information: 6 pages
Keywords: math.GR, 20J05, 20E08, 20F05

Identifiers

Local EPrints ID: 445772
URI: http://eprints.soton.ac.uk/id/eprint/445772
PURE UUID: 3fc37222-1e73-4d5f-9150-da127f63c376
ORCID for Sam Hughes: ORCID iD orcid.org/0000-0002-9992-4443
ORCID for Peter Kropholler: ORCID iD orcid.org/0000-0001-5460-1512

Catalogue record

Date deposited: 07 Jan 2021 17:33
Last modified: 18 Feb 2021 17:37

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Contributors

Author: Indira Chatterji
Author: Sam Hughes ORCID iD

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