{
  "id": "2011.02040",
  "version": "v1",
  "published": "2020-11-03T22:26:18.000Z",
  "updated": "2020-11-03T22:26:18.000Z",
  "title": "(Extended) Kronecker quivers and amenability",
  "authors": [
    "Sebastian Eckert"
  ],
  "comment": "13 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We apply the notion of hyperfinite families of modules to the wild path algebras of extended Kronecker quivers $k\\Theta(d)$. While the preprojective and postinjective component are hyperfinite, we show the existence of a family of non-hyperfinite modules in the regular component for some $d$. Making use of dimension expanders to achieve this, our construction is more explicit than previous results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-03T22:26:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16G60"
    ],
    "keywords": [
      "amenability",
      "wild path algebras",
      "hyperfinite families",
      "regular component",
      "extended kronecker quivers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}