{
  "id": "1407.5485",
  "version": "v1",
  "published": "2014-07-17T20:36:41.000Z",
  "updated": "2014-07-17T20:36:41.000Z",
  "title": "Regularity properties and Rokhlin dimension for compact group actions",
  "authors": [
    "Eusebio Gardella"
  ],
  "comment": "18 pages. This preprint contains the material on crossed products in the first version of arXiv:1407.1277",
  "categories": [
    "math.OA"
  ],
  "abstract": "We show that formation of crossed products and passage to fixed point algebras by compact group actions with finite Rokhlin dimension preserve the following regularity properties: finite decomposition rank, finite nuclear dimension, and tensorial absorption of the Jiang-Su algebra, the latter in the formulation with commuting towers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-17T20:36:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L55",
      "46L35"
    ],
    "keywords": [
      "compact group actions",
      "regularity properties",
      "finite rokhlin dimension preserve",
      "finite decomposition rank",
      "finite nuclear dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.5485G"
    }
  }
}