{
  "id": "1107.3449",
  "version": "v1",
  "published": "2011-07-18T14:34:15.000Z",
  "updated": "2011-07-18T14:34:15.000Z",
  "title": "$κ$-Deformation and Spectral Triples",
  "authors": [
    "B. Iochum",
    "T. Masson",
    "Th. Schücker",
    "A. Sitarz"
  ],
  "comment": "Talk presented by B. Iochum at the conference \"Geometry and Physics in Cracow\", September 21-25, 2010",
  "journal": "Acta Phys.Polon.Supp.4:305,2011",
  "doi": "10.5506/APhysPolBSupp.4.305",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The aim of the paper is to answer the following question: does $\\kappa$-deformation fit into the framework of noncommutative geometry in the sense of spectral triples? Using a compactification of time, we get a discrete version of $\\kappa$-Minkowski deformation via $C^*$-algebras of groups. The dynamical system of the underlying groups (including some Baumslag--Solitar groups) is used in order to construct \\emph{finitely summable} spectral triples. This allows to bypass an obstruction to finite-summability appearing when using the common regular representation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-18T14:34:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.30.Sa",
      "11.15.Kc",
      "11.10.Nx"
    ],
    "keywords": [
      "spectral triples",
      "common regular representation",
      "deformation fit",
      "discrete version",
      "baumslag-solitar groups"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 918963,
      "adsabs": "2011arXiv1107.3449I"
    }
  }
}