English

Warped cones and property A

General Topology 2014-11-11 v2 Group Theory Geometric Topology

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

Cite

@article{arxiv.math/0501349,
  title  = {Warped cones and property A},
  author = {John Roe},
  journal= {arXiv preprint arXiv:math/0501349},
  year   = {2014}
}

Comments

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper4.abs.html Version 2: proof of theorem 1.10 corrected