{
  "id": "1706.10138",
  "version": "v1",
  "published": "2017-06-30T11:34:49.000Z",
  "updated": "2017-06-30T11:34:49.000Z",
  "title": "Group-like projections for locally compact quantum groups",
  "authors": [
    "Paweł Kasprzak",
    "Ramin Faal"
  ],
  "categories": [
    "math.OA"
  ],
  "abstract": "Let $\\mathbb{G}$ be a locally compact quantum group. We give a 1-1 correspondence between group-like projections in $L^1(\\mathbb{G})$ preserved by the scaling group and idempotent states on the dual quantum group. As a byproduct we give a simple proof that normal integrable coideals in $L^1(\\mathbb{G})$ which are preserved by the scaling group are in 1-1 correspondence with compact quantum subgroups of $\\mathbb{G}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-30T11:34:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L65"
    ],
    "keywords": [
      "locally compact quantum group",
      "group-like projections",
      "scaling group",
      "compact quantum subgroups",
      "dual quantum group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}