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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The first author was partially supported by the ERC grant ANALYTIC no. 259527, the Swiss NSF Sinergia grant CRSI22 130435, and by the CNRS, UMR 6632. The second author was partially supported by NSF grant DMS-0349367. The third author was supported by the Deutsche Forschungsgemeinschaft (SFB 878).
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Arzhantseva, G., Guentner, E. & Špakula, J. Coarse Non-Amenability and Coarse Embeddings. Geom. Funct. Anal. 22, 22–36 (2012). https://doi.org/10.1007/s00039-012-0145-z
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DOI: https://doi.org/10.1007/s00039-012-0145-z