Combination of universal spaces for proper actions

Alexandre Martin

doi:10.1007/s40062-014-0084-5

Combination of universal spaces for proper actions

Alexandre Martin

Research output: Contribution to journal › Article › peer-review

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Abstract

Given a group action on a simplicial complex such that each simplex stabiliser admits a cocompact model for its universal space for proper actions, we give conditions implying the existence of a cocompact model for the universal space for proper actions of the whole group. This is used to generalise previous combination results for boundaries of groups and hyperbolic groups.

Original language	English
Pages (from-to)	803–820
Number of pages	18
Journal	Journal of Homotopy and Related Structures
Volume	10
Issue number	4
DOIs	https://doi.org/10.1007/s40062-014-0084-5
Publication status	Published - Dec 2015

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abstract = "Given a group action on a simplicial complex such that each simplex stabiliser admits a cocompact model for its universal space for proper actions, we give conditions implying the existence of a cocompact model for the universal space for proper actions of the whole group. This is used to generalise previous combination results for boundaries of groups and hyperbolic groups.",

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AB - Given a group action on a simplicial complex such that each simplex stabiliser admits a cocompact model for its universal space for proper actions, we give conditions implying the existence of a cocompact model for the universal space for proper actions of the whole group. This is used to generalise previous combination results for boundaries of groups and hyperbolic groups.

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DO - 10.1007/s40062-014-0084-5

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JO - Journal of Homotopy and Related Structures

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Combination of universal spaces for proper actions

Abstract

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