{
  "id": "math/0702379",
  "version": "v1",
  "published": "2007-02-13T16:56:47.000Z",
  "updated": "2007-02-13T16:56:47.000Z",
  "title": "Quantum statistical mechanics and class field Theory",
  "authors": [
    "Jorge Plazas"
  ],
  "comment": "Survey article. To appear in the proceedings of the summer school \"Geometric and topological methods for quantum field theory\", Villa de Leyva 2005. (AMS Contemporary Mathematics)",
  "categories": [
    "math.NT",
    "math.OA"
  ],
  "abstract": "We survey some results relating noncommutative geometry to the class field theory of number fields. These results appear within the context of quantum statistical mechanics where some arithmetic properties of a given number field can be realized in terms of the structure of equilibrium states of a quantum statistical mechanical system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-13T16:56:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58B34",
      "11R37",
      "82B10",
      "11R56"
    ],
    "keywords": [
      "class field theory",
      "quantum statistical mechanics",
      "number field",
      "quantum statistical mechanical system",
      "results appear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}