Coarse non-amenability and coarse embeddings

Details Coarse non-amenability and coarse embeddings Coarse non-amenability and coarse embeddings

2011-01-10

arxiv.org/abs/1101.1993v2

Mathematics

Group Theory

Revised version, accepted for publication in Geometric and Functional Analysis (GAFA); 15 pages, 4 figures

Scientific paper

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.

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