Gorenstein dimension and proper actions

We conjecture that a group G admits a finite-dimensional classifying space for proper actions if and only if the Gorenstein projective dimension of G is finite. We verify the one-dimensional case of this conjecture. Some evidence are given for the hypothesis that the Gorenstein projective ℤG-modules...

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Bibliographic Details
Published in:The Bulletin of the London Mathematical Society 2009-10, Vol.41 (5), p.859-871
Main Authors: Bahlekeh, Abdolnaser, Dembegioti, Fotini, Talelli, Olympia
Format: Article
Language:English
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Summary:We conjecture that a group G admits a finite-dimensional classifying space for proper actions if and only if the Gorenstein projective dimension of G is finite. We verify the one-dimensional case of this conjecture. Some evidence are given for the hypothesis that the Gorenstein projective ℤG-modules are precisely Benson's class of cofibrant modules.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms/bdp063