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G&T Monographs |
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Warped cones and property A
John Roe
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Geometry & Topology 9 (2005)
163–178
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Abstract
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We describe a construction (the ‘warped cone construction’) which produces
examples of coarse spaces with large groups of translations. We show that by
this construction we can obtain many examples of coarse spaces which do
not have property A or which are not uniformly embeddable into Hilbert
space.
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Keywords
coarse geometry, amenable action,
property A, warped cone
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Mathematical Subject Classification
Primary: 53C20
Secondary: 20F69, 43A07, 53C12
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Publication
Received: 17 March 2004
Revised: 7 March 2005
Accepted: 27 December 2004
Published: 6 January 2005
Proposed: Martin Bridson
Seconded: Steven Ferry, Benson Farb
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