{
  "id": "math/0111173",
  "version": "v9",
  "published": "2001-11-15T03:57:44.000Z",
  "updated": "2011-04-08T12:56:45.000Z",
  "title": "Toric AF-algebras and faithful representation of the mapping class groups",
  "authors": [
    "Igor Nikolaev"
  ],
  "comment": "10 pages, 1 figure; revised to death",
  "journal": "in Three papers on operator algebras in geometric topology pp 33-46 LAP Lambert Academic Publishing (german SamIzdat) Saarbrucken 2013 ISBN 978-3-659-44488-3",
  "categories": [
    "math.AG",
    "math.OA"
  ],
  "abstract": "There exists a covariant non-injective functor from the space of generic Riemann surfaces to the so-called toric AF-algebras; such a functor maps isomorphic Riemann surfaces to the stably isomorphic toric AF-algebras. We use the functor to construct a faithful representation of the mapping class group of surface of genus g>1 into the matrix group GL(6g-6, Z).",
  "revisions": [
    {
      "version": "v9",
      "updated": "2011-04-08T12:56:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "46L40",
      "58F10"
    ],
    "keywords": [
      "mapping class group",
      "toric af-algebras",
      "faithful representation",
      "functor maps isomorphic riemann surfaces",
      "matrix group gl"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....11173N"
    }
  }
}