{
  "id": "1112.5248",
  "version": "v1",
  "published": "2011-12-22T08:14:42.000Z",
  "updated": "2011-12-22T08:14:42.000Z",
  "title": "Mixing actions of Heisenberg group",
  "authors": [
    "Alexandre I. Danilenko"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Mixing (of all orders) rank-one actions $T$ of Heisenberg group $H_3(\\Bbb R)$ are constructed. The restriction of $T$ to the center of $H_3(\\Bbb R)$ is simple and commutes only with $T$. Mixing Poisson and mixing Gaussian actions of $H_3(\\Bbb R)$ are also constructed. A rigid weakly mixing rank-one action $T$ is constructed such that the restriction of $T$ to the center of $H_3(\\Bbb R)$ is not isomorphic to its inverse.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-22T08:14:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37Axx"
    ],
    "keywords": [
      "heisenberg group",
      "mixing actions",
      "rigid weakly mixing rank-one action",
      "mixing gaussian actions",
      "restriction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5248D"
    }
  }
}