Warped cones and property A

Roe, John

doi:10.2140/gt.2005.9.163

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Warped cones and property A

John Roe

Geometry & Topology 9 (2005) 163–178

DOI: 10.2140/gt.2005.9.163

arXiv: math.GN/0501349

Abstract

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.

Keywords

coarse geometry, amenable action, property A, warped cone

Mathematical Subject Classification 2000

Primary: 53C20

Secondary: 43A07, 53C12, 20F69

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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

Authors

John Roe
Department of Mathematics Penn State University University Park Pennsylvania 16802 USA

Volume 9, issue 1 (2005)