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On the classifying space for proper actions of groups with cyclic torsion

On the classifying space for proper actions of groups with cyclic torsion
On the classifying space for proper actions of groups with cyclic torsion
In this paper we introduce a common framework for describing the topological part of the Baum-Connes conjecture for a wide class of groups. We compute the Bredon homology for groups with aspherical presentation, one-relator quotients of products of locally indicable groups, extensions of $\mathbb{Z}^n$ by cyclic groups, and fuchsian groups. We take advantage of the torsion structure of these groups to use appropriate models of the universal space for proper actions which allow us, in turn, to extend some technology defined by Mislin in the case of one-relator groups
1-23
Antolin, Yago
2ff7c13c-8a0d-4a50-9de5-63a750896e4c
Flores, Ramón
7761096e-1fc6-47ae-8f79-e51eca76f571
Antolin, Yago
2ff7c13c-8a0d-4a50-9de5-63a750896e4c
Flores, Ramón
7761096e-1fc6-47ae-8f79-e51eca76f571

Antolin, Yago and Flores, Ramón (2011) On the classifying space for proper actions of groups with cyclic torsion. Pre-print, (arXiv:1107.056), 1-23.

Record type: Article

Abstract

In this paper we introduce a common framework for describing the topological part of the Baum-Connes conjecture for a wide class of groups. We compute the Bredon homology for groups with aspherical presentation, one-relator quotients of products of locally indicable groups, extensions of $\mathbb{Z}^n$ by cyclic groups, and fuchsian groups. We take advantage of the torsion structure of these groups to use appropriate models of the universal space for proper actions which allow us, in turn, to extend some technology defined by Mislin in the case of one-relator groups

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Published date: 4 July 2011
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 202231
URI: https://eprints.soton.ac.uk/id/eprint/202231
PURE UUID: a1bd40bd-b3f2-4d1b-b53b-d191fafa9bb9

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Date deposited: 04 Nov 2011 14:15
Last modified: 18 Jul 2017 11:11

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