{
  "id": "2110.09289",
  "version": "v3",
  "published": "2021-10-14T18:28:57.000Z",
  "updated": "2022-07-06T09:48:56.000Z",
  "title": "Weak amenability of free products of hyperbolic and amenable groups",
  "authors": [
    "Ignacio Vergara"
  ],
  "comment": "Final version. 5 pages. Published in Glasgow Mathematical Journal",
  "doi": "10.1017/S0017089521000458",
  "categories": [
    "math.GR",
    "math.DS",
    "math.OA"
  ],
  "abstract": "We show that, if $G$ is an amenable group and $H$ is a hyperbolic group, then the free product $G\\ast H$ is weakly amenable. A key ingredient in the proof is the fact that $G\\ast H$ is orbit equivalent to $\\mathbb{Z}\\ast H$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-07-06T09:48:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free product",
      "amenable group",
      "weak amenability",
      "hyperbolic group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}