arXiv Analytics

Sign in

arXiv:1403.5446 [math.GR]AbstractReferencesReviewsResources

The Haagerup property is not invariant under quasi-isometry

Mathieu Carette, Sylvain Arnt, Thibault Pillon, Alain Valette

Published 2014-03-21Version 1

Using the work of Cornulier-Valette and Whyte, we show that neither the Haagerup property nor weak amenability is invariant under quasi-isometry of finitely generated groups.

Comments: 6 pages, appendix by Sylvain Arnt, Thibault Pillon and Alain Valette
Categories: math.GR
Subjects: 20F65, 20E08, 22D05, 22D10
Related articles: Most relevant | Search more
arXiv:1304.6193 [math.GR] (Published 2013-04-23, updated 2013-08-26)
Notes on C_0-representations and the Haagerup property
arXiv:1904.05668 [math.GR] (Published 2019-04-11)
A new characterization of the Haagerup property
arXiv:1305.6748 [math.GR] (Published 2013-05-29, updated 2014-02-21)
The Haagerup property is stable under graph products