{
  "id": "math/0108033",
  "version": "v1",
  "published": "2001-08-06T11:18:09.000Z",
  "updated": "2001-08-06T11:18:09.000Z",
  "title": "Isomorphism rigidity of algebraic $Z^{d}$-actions",
  "authors": [
    "Siddhartha Bhattacharya"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "An algebraic $Z^{d}$-action is an action of $Z^{d}$ on a compact abelian group $X$ by automorphisms of $X$. We prove that for $d \\ge 8$, there exist mixing zero entropy algebraic $Z^{d}$-actions which do not exhibit isomorphism rigidity property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-08-06T11:18:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact abelian group",
      "mixing zero entropy algebraic",
      "isomorphism rigidity property",
      "automorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8033B"
    }
  }
}