{
  "id": "math/0303185",
  "version": "v1",
  "published": "2003-03-15T11:30:02.000Z",
  "updated": "2003-03-15T11:30:02.000Z",
  "title": "Bowen-Franks groups as conjugacy invariants for $\\mathbb{T}^{n}$ automorphisms",
  "authors": [
    "P. Martins Rodrigues",
    "J. Sousa Ramos"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "The role of generalized Bowen-Franks groups (BF-groups) as topological conjugacy invariants for $\\mathbb{T}^{n}$ automorphisms is studied. Using algebraic number theory, a link is established between equality of BF-groups for different automorphisms ($BF$-equivalence) and an identical position in a finite lattice ($\\mathcal{L}$-equivalence). Important cases of equivalence of the two conditions are proved. Finally, a topological interpretation of the classical BF-group $\\mathbb{Z}% ^{n}/\\mathbb{Z}^{n}(I-A)$ in this context is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-15T11:30:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C15",
      "37C25",
      "15A36",
      "11R04"
    ],
    "keywords": [
      "automorphisms",
      "equivalence",
      "algebraic number theory",
      "topological conjugacy invariants",
      "generalized bowen-franks groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3185M"
    }
  }
}