Combination of universal spaces for proper actions

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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 languageEnglish
Pages (from-to)803–820
Number of pages18
JournalJournal of Homotopy and Related Structures
Volume10
Issue number4
DOIs
Publication statusPublished - Dec 2015

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