{
  "id": "1204.5376",
  "version": "v2",
  "published": "2012-04-24T13:53:19.000Z",
  "updated": "2013-07-21T00:39:11.000Z",
  "title": "Suspensions of Bernoulli shifts",
  "authors": [
    "Alvaro Lozano-Rojo",
    "Olga Lukina"
  ],
  "comment": "Minor corrections. Accepted to: Dynamical Systems. An International Journal",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that for a given finitely generated group, its Bernoulli shift space can be equivariantly embedded as a subset of a space of pointed trees with Gromov-Hausdorff metric and natural partial action of a free group. Since the latter can be realised as a transverse space of a foliated space with leaves Riemannian manifolds, this embedding allows us to obtain a suspension of such Bernoulli shift. By a similar argument we show that the space of pointed trees is universal for compactly generated expansive pseudogroups of transformations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-21T00:39:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "suspension",
      "bernoulli shift space",
      "pointed trees",
      "natural partial action",
      "leaves riemannian manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5376L"
    }
  }
}