Geometry & Topology, Vol. 9 (2005) Paper no. 4, pages 163--178.

Warped cones and property A

John Roe

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

AMS subject classification. Primary: 53C20. Secondary: 43A07, 53C12, 20F69.

DOI: 10.2140/gt.2005.9.163

E-print: arXiv:math.GN/0501349

Submitted to GT on 17 March 2004. Paper accepted 27 December 2004. Paper published 6 January 2005. Corrected (proof of 1.10) 7 March 2005.

Notes on file formats

John Roe
Department of Mathematics, Penn State University
University Park PA 16802, USA

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