The Haagerup property is not invariant under quasi-isometry
Group Theory
2026-02-25 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1403.5446,
title = {The Haagerup property is not invariant under quasi-isometry},
author = {Mathieu Carette and Kevin Whyte and Sylvain Arnt and Thibault Pillon and Alain Valette},
journal= {arXiv preprint arXiv:1403.5446},
year = {2026}
}
Comments
12 pages; Appendix A by Kevin Whyte; Appendix B by Sylvain Arnt, Thibault Pillon and Alain Valette