{
  "id": "0801.3354",
  "version": "v2",
  "published": "2008-01-22T12:40:51.000Z",
  "updated": "2008-06-25T22:32:18.000Z",
  "title": "$C^*$-algebras arising from substitutions",
  "authors": [
    "Masaru Fujino"
  ],
  "comment": "19 pages",
  "categories": [
    "math.OA",
    "math.DS"
  ],
  "abstract": "In this paper, we introduce a $C^{\\ast}$-algebra associated with a proper primitive substitution. We show that the $C^{\\ast}$-algebra is simple and purely infinite and contains the associated Cuntz-Krieger algebra and the crossed product $C^{\\ast}$-algebra of the corresponding Cantor minimal system. We calculate the $K$-groups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-25T22:32:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebras arising",
      "corresponding cantor minimal system",
      "proper primitive substitution",
      "associated cuntz-krieger algebra",
      "crossed product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.3354F"
    }
  }
}