{
  "id": "math/9911202",
  "version": "v1",
  "published": "1999-11-25T12:20:55.000Z",
  "updated": "1999-11-25T12:20:55.000Z",
  "title": "Amenable groups, topological entropy and Betti numbers",
  "authors": [
    "Gabor Elek"
  ],
  "comment": "19 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We investigate an analogue of the L^2-Betti numbers for amenable linear subshifts. The role of the von Neumann dimension shall be played by the topological entropy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-11-25T12:20:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A07",
      "28D20"
    ],
    "keywords": [
      "topological entropy",
      "betti numbers",
      "amenable groups",
      "von neumann dimension",
      "amenable linear subshifts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....11202E"
    }
  }
}