{
  "id": "1902.02421",
  "version": "v1",
  "published": "2019-02-06T22:44:15.000Z",
  "updated": "2019-02-06T22:44:15.000Z",
  "title": "A prime system with many self-joinings",
  "authors": [
    "Jon Chaika",
    "Bryna Kra"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct a rigid, rank 1, prime transformation that is not quasi-simple and whose self-joinings form a Paulsen simplex. This seems to be the first example of a prime system whose self-joinings form a Paulsen simplex and the first example of a prime system that is not quasi-simple.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-06T22:44:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "prime system",
      "first example",
      "paulsen simplex",
      "self-joinings form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}