{
  "id": "1004.0940",
  "version": "v1",
  "published": "2010-04-06T19:40:18.000Z",
  "updated": "2010-04-06T19:40:18.000Z",
  "title": "Approximately transitive dynamical systems and simple spectrum",
  "authors": [
    "E. H. El Abdalaoui",
    "M. Lemanczyk"
  ],
  "comment": "9 pages, Key words and phrases: ergodic theory, dynamical system, AT property, funny rank one, Haar spectrum",
  "categories": [
    "math.DS"
  ],
  "abstract": "For some countable discrete torsion Abelian groups we give examples of their finite measure-preserving actions which have simple spectrum and no approximate transitivity property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-06T19:40:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25"
    ],
    "keywords": [
      "approximately transitive dynamical systems",
      "simple spectrum",
      "countable discrete torsion abelian groups",
      "approximate transitivity property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.0940E"
    }
  }
}