{
  "id": "1204.5939",
  "version": "v6",
  "published": "2012-04-26T14:30:11.000Z",
  "updated": "2014-04-15T01:30:50.000Z",
  "title": "Invariant random subgroups of the free group",
  "authors": [
    "Lewis Bowen"
  ],
  "comment": "This is probably the final version. It fixes a few minor typos and provides a little more explanation than the previous version",
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "Let $G$ be a locally compact group. A random closed subgroup with conjugation-invariant law is called an {\\em invariant random subgroup} or IRS for short. We show that each nonabelian free group has a large \"zoo\" of IRS's. This contrasts with results of Stuck-Zimmer which show that there are no non-obvious IRS's of higher rank semisimple Lie groups with property (T).",
  "revisions": [
    {
      "version": "v6",
      "updated": "2014-04-15T01:30:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant random subgroup",
      "higher rank semisimple lie groups",
      "nonabelian free group",
      "conjugation-invariant law",
      "random closed subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5939B"
    }
  }
}