{
  "id": "1905.09469",
  "version": "v1",
  "published": "2019-05-23T15:07:04.000Z",
  "updated": "2019-05-23T15:07:04.000Z",
  "title": "Rohlin actions of finite groups on the Razak-Jacelon algebra",
  "authors": [
    "Norio Nawata"
  ],
  "comment": "18 pages",
  "categories": [
    "math.OA"
  ],
  "abstract": "Let $A$ be a simple separable nuclear C$^*$-algebra with a unique tracial state and no unbounded traces, and let $\\alpha$ be a strongly outer action of a finite group $G$ on $A$. In this paper, we show that $\\alpha\\otimes \\mathrm{id}$ on $A\\otimes\\mathcal{W}$ has the Rohlin property, where $\\mathcal{W}$ is the Razak-Jacelon algebra. Combing this result with the recent classification results and our previous result, we see that such actions are unique up to conjugacy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-23T15:07:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L55",
      "46L35",
      "46L40"
    ],
    "keywords": [
      "razak-jacelon algebra",
      "finite group",
      "rohlin actions",
      "unique tracial state",
      "strongly outer action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}