{
  "id": "0906.0107",
  "version": "v1",
  "published": "2009-05-30T19:40:04.000Z",
  "updated": "2009-05-30T19:40:04.000Z",
  "title": "About amenability of subgroups of the group of diffeomorphisms of the interval",
  "authors": [
    "E. T. Shavgulidze"
  ],
  "comment": "17 pages",
  "categories": [
    "math.GR",
    "math.FA"
  ],
  "abstract": "Averaging linear functional on the space continuous functions of the group of diffeomorphisms of interval is found. Amenability of several discrete subgroups of the group of diffeomorphisms $\\Diff^3([0,1])$ of interval is prove. In particular, a solution of the problem of amenability of the Thompson's group $F$ is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-30T19:40:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22F40",
      "58D05"
    ],
    "keywords": [
      "amenability",
      "diffeomorphisms",
      "discrete subgroups",
      "averaging linear functional"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1134/S1061920809010105",
      "journal": "Russian Journal of Mathematical Physics",
      "year": 2009,
      "month": "Mar",
      "volume": 16,
      "number": 1,
      "pages": 130
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009RJMP...16..130S"
    }
  }
}