{
  "id": "1201.5367",
  "version": "v1",
  "published": "2012-01-25T20:46:24.000Z",
  "updated": "2012-01-25T20:46:24.000Z",
  "title": "Rigidity of group actions on homogeneous spaces, III",
  "authors": [
    "Uri Bader",
    "Alex Furman",
    "Alex Gorodnik",
    "Barak Weiss"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Consider homogeneous G/H and G/F, for an S-algebraic group G. A lattice {\\Gamma} acts on the left strictly conservatively. The following rigidity results are obtained: morphisms, factors and joinings defined apriori only in the measurable category are in fact algebraically constrained. Arguing in an elementary fashion we manage to classify all the measurable {\\Phi} commuting with the {\\Gamma}-action: assuming ergodicity, we find they are algebraically defined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-25T20:46:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "group actions",
      "homogeneous spaces",
      "s-algebraic group",
      "rigidity results",
      "joinings defined apriori"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.5367B"
    }
  }
}