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Coarse non-amenability and coarse embeddings

Coarse non-amenability and coarse embeddings
Coarse non-amenability and coarse embeddings
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.
22-36
Arzhantseva, Goulnara
cb099fac-8639-46ef-bac8-a93f68309758
Guentner, Erik
0efa2b74-da7d-497d-8a80-e668eb8f41f1
Spakula, Jan
c43164e4-36a7-4372-9ce2-9bfbba775d77
Arzhantseva, Goulnara
cb099fac-8639-46ef-bac8-a93f68309758
Guentner, Erik
0efa2b74-da7d-497d-8a80-e668eb8f41f1
Spakula, Jan
c43164e4-36a7-4372-9ce2-9bfbba775d77

Arzhantseva, Goulnara, Guentner, Erik and Spakula, Jan (2012) Coarse non-amenability and coarse embeddings. Geometric And Functional Analysis, 22 (1), 22-36. (doi:10.1007/s00039-012-0145-z).

Record type: Article

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.

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e-pub ahead of print date: 26 January 2012
Published date: 2012
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 351508
URI: https://eprints.soton.ac.uk/id/eprint/351508
PURE UUID: e00f5117-b65f-4660-85c6-909eddb6221e

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Date deposited: 23 Apr 2013 11:42
Last modified: 27 Apr 2018 16:31

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