{
  "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.",
  "abstract_shown": true,
  "affiliations": [
    "Rockestate SRL Brussels Belgium",
    "Dept. of Mathematics, Statistics, and Computer Science University of Illinois at Chicago Chicago Illinois USA",
    "Pôle Sup' Sainte Croix ‐ Saint Euverte Orléans France",
    "Haute école d'Ingénierie et de Gestion du Canton de Vaud Yverdon‐les‐Bains Switzerland",
    "Institut de Mathématiques, UniMail Neuchâtel Switzerland"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 5,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Mathieu Carette"
    },
    {
      "affs": [
        1
      ],
      "name": "Kevin Whyte"
    },
    {
      "affs": [
        2
      ],
      "name": "Sylvain Arnt"
    },
    {
      "affs": [
        3
      ],
      "name": "Thibault Pillon"
    },
    {
      "affs": [
        4
      ],
      "name": "Alain Valette",
      "orcid": "0000-0002-2237-8384"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/45dq3ce43ny9e.bib",
  "cited_by": 5,
  "doi": "10.1112/blms.70516",
  "fulltext_url": null,
  "id": "45dq3ce43ny9e",
  "issns": [
    "0024-6093",
    "1469-2120"
  ],
  "landing_url": "https://doi.org/10.1112/blms.70516",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W1770258303",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": "Wiley",
  "ris": "https://research.draconitic.com/paper/45dq3ce43ny9e.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T13:20:24Z",
      "native_id": "W1770258303",
      "source": "openalex",
      "url": "https://doi.org/10.1112/blms.70516"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Advanced Operator Algebra Research",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "The Haagerup property is not invariant under quasi‐isometry",
  "title_text": "The Haagerup property is not invariant under quasi‐isometry",
  "type": "peer-reviewed",
  "updated_at": "2026-11-06T13:20:22Z",
  "url": "https://research.draconitic.com/paper/45dq3ce43ny9e",
  "venue": "Bulletin of the London Mathematical Society",
  "versions": []
}