The Haagerup property is not invariant under quasi‐isometry
Abstract Using the work of Cornulier–Valette and Whyte (see Appendix A for the latter), we show that neither the Haagerup property nor weak amenability is invariant under quasi‐isometry of finitely generated groups. Appendix B shows, using the same examples, that the same holds for vanishing of the equivariant ‐compression.
Authors
- Thibault Pillon
- Mathieu Carette
- Sylvain Arnt
- Alain Valette (ORCID: https://orcid.org/0000-0002-2237-8384)
Institutions
- University of Illinois Chicago (US)
- Haute École Pédagogique du Canton de Vaud (CH)
- University of Neuchâtel (CH)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-10-15
- DOI
- https://doi.org/10.1112/blms.70516
- Citations
- 4
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Fonds De La Recherche Scientifique - FNRS