{
  "id": "2305.13955",
  "version": "v1",
  "published": "2023-05-23T11:31:35.000Z",
  "updated": "2023-05-23T11:31:35.000Z",
  "title": "On weak amenability of Fourier algebras",
  "authors": [
    "Viktor Losert"
  ],
  "categories": [
    "math.FA",
    "math.GR",
    "math.OA",
    "math.RT"
  ],
  "abstract": "For a connected Lie group G it was shown by Lee, Ludwig, Samei and Spronk that its Fourier algebra A(G) is weakly amenable only if G is abelian. We extend this result to general connected locally compact groups, extending an approach developed in special cases by Choi and Ghandehari.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-23T11:31:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A30",
      "22E15",
      "22D35",
      "43A80",
      "46H25",
      "46J10",
      "46J40",
      "47B47"
    ],
    "keywords": [
      "fourier algebra",
      "weak amenability",
      "general connected locally compact groups",
      "special cases",
      "connected lie group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}