{
  "id": "1608.01331",
  "version": "v1",
  "published": "2016-08-03T20:10:21.000Z",
  "updated": "2016-08-03T20:10:21.000Z",
  "title": "Invariant random subgroups and action versus representation maximality",
  "authors": [
    "Peter J. Burton",
    "Alexander S. Kechris"
  ],
  "categories": [
    "math.DS",
    "math.LO"
  ],
  "abstract": "We show that weak containment of free ergodic measure-preserving actions of $\\mathbf{F}_\\infty$ is not equivalent to weak containment of the corresponding Koopman representations. This result is based on the construction of an invariant random subgroup of $\\mathbf{F}_\\infty$ which is supported on the maximal actions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-03T20:10:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35",
      "28D15"
    ],
    "keywords": [
      "invariant random subgroup",
      "representation maximality",
      "weak containment",
      "free ergodic measure-preserving actions",
      "maximal actions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}