Coarse non-amenability and coarse embeddings
Group Theory
2011-11-02 v2 Functional Analysis
Metric Geometry
Abstract
We construct the first example of a coarsely non-amenable (= without Guoliang Yu's property A) metric space with bounded geometry which coarsely embeds into a Hilbert space.
Keywords
Cite
@article{arxiv.1101.1993,
title = {Coarse non-amenability and coarse embeddings},
author = {Goulnara Arzhantseva and Erik Guentner and Jan Spakula},
journal= {arXiv preprint arXiv:1101.1993},
year = {2011}
}
Comments
Revised version, accepted for publication in Geometric and Functional Analysis (GAFA); 15 pages, 4 figures