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

Primary: 53C20

Secondary: 20F69, 43A07, 53C12

References

Forward citations

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