{
  "id": "2401.13989",
  "version": "v1",
  "published": "2024-01-25T07:15:27.000Z",
  "updated": "2024-01-25T07:15:27.000Z",
  "title": "Inclusions of simple C$^*$-algebras arising from compact group actions",
  "authors": [
    "Miho Mukohara"
  ],
  "comment": "20 pages",
  "categories": [
    "math.OA"
  ],
  "abstract": "Inclusions of operator algebras have long been studied. In particular, inclusions arising from actions of compact groups on factors were studied by Izumi-Longo-Popa and others. The correspondence between intermediate subfactors and subgroups is called the Galois correspondence. Analogues for actions on C$^*$-algebras have been studied by Izumi, Cameron-Smith, Peligrad, and others. In this article, we give examples of compact group actions on simple C$^*$-algebras for which the Galois correspondence holds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-25T07:15:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L55",
      "22D25"
    ],
    "keywords": [
      "compact group actions",
      "inclusions",
      "algebras arising",
      "galois correspondence holds",
      "intermediate subfactors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}