{
  "id": "1102.4524",
  "version": "v1",
  "published": "2011-02-22T14:50:15.000Z",
  "updated": "2011-02-22T14:50:15.000Z",
  "title": "The group of almost-periodic homeomorphisms of the real line",
  "authors": [
    "Bertrand Deroin"
  ],
  "categories": [
    "math.GR",
    "math.DS"
  ],
  "abstract": "We study the group of almost-periodic homeomorphisms of the real line. Our main result states that an action of a finitely generated group on the real line without global fixed point is conjugated to an almost-periodic action without almost fixed point. This is equivalent to saying that the action on the real line can be compactified to an action on a 1-dimensional lamination of a compact space, without global fixed point. As an application we give an alternative proof of Witte's theorem: an amenable left orderable group is locally indicable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-22T14:50:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real line",
      "almost-periodic homeomorphisms",
      "global fixed point",
      "main result states",
      "almost-periodic action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.4524D"
    }
  }
}