{
  "abstract": "We show that if a sequence of expander graphs equi-coarsely embeds into a Banach space, then this Banach space fails Kasparov and Yu's Property (H). Consequently, no Banach space with Property (H) can be coarsely universal for all countable groups. We provide a Lean verification of our results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.22416",
  "author_total": 6,
  "authors": [
    {
      "name": "Bruno de Mendonç Braga"
    },
    {
      "name": "Chris Gartland"
    },
    {
      "name": "Gilles Lancien"
    },
    {
      "name": "Pavlos Motakis"
    },
    {
      "name": "Eva Pernecká"
    },
    {
      "name": "Thomas Schlumprecht"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2rz3t6n44pw3x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.22416",
  "fulltext_url": null,
  "id": "2rz3t6n44pw3x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.22416",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "arxiv",
      "math.MG"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7213996159",
  "pdf_url": "https://arxiv.org/pdf/2609.22416",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2rz3t6n44pw3x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.22416",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.22416"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Expanders prevent Property (H)",
  "title_text": "Expanders prevent Property (H)",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/2rz3t6n44pw3x",
  "venue": "arXiv",
  "versions": []
}