{
  "id": "0704.3651",
  "version": "v3",
  "published": "2007-04-27T19:44:49.000Z",
  "updated": "2009-02-06T18:06:30.000Z",
  "title": "Crossed products by finite group actions with the Rokhlin property",
  "authors": [
    "Hiroyuki Osaka",
    "N. Christopher Phillips"
  ],
  "comment": "22 pages; AMSLaTeX. Changes for version 3: One theorem (on ideals in crossed products by the Rokhlin property) removed; it will appear in a different paper. Minor improvements. Changes for version 2: Substantial expansion",
  "categories": [
    "math.OA"
  ],
  "abstract": "We prove that a number of classes of separable unital C*-algebras are closed under crossed products by finite group actions with the Rokhlin property, including: (1) AI algebras, AT algebras, and related classes characterized by direct limit decompositions using semiprojective building blocks. (2) Simple unital AH algebras with slow dimension growth and real rank zero. (3) C*-algebras with real rank zero or stable rank one. (4) C*-algebras whose quotients all satisfy the Universal Coefficient Theorem. Along the way, we give a systematic treatment of the derivation of direct limit decompositions from local approximation conditions by homomorphic images which are not necessarily injective.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-02-06T18:06:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L55",
      "46L35"
    ],
    "keywords": [
      "finite group actions",
      "rokhlin property",
      "crossed products",
      "real rank zero",
      "direct limit decompositions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.3651O"
    }
  }
}