{
  "id": "0812.0317",
  "version": "v1",
  "published": "2008-12-01T16:08:42.000Z",
  "updated": "2008-12-01T16:08:42.000Z",
  "title": "Classifying Rational G-Spectra for Finite G",
  "authors": [
    "David Barnes"
  ],
  "comment": "30 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We give a new proof that for a finite group G, the category of rational G-equivariant spectra is Quillen equivalent to the product of the model categories of chain complexes of modules over the rational group ring of the Weyl group of H in G, as H runs over the conjugacy classes of subgroups of G. Furthermore the Quillen equivalences of our proof are all symmetric monoidal. Thus we can understand categories of algebras or modules over a ring spectrum in terms of the algebraic model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-01T16:08:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N91",
      "55P42"
    ],
    "keywords": [
      "classifying rational g-spectra",
      "rational g-equivariant spectra",
      "finite group",
      "quillen equivalent",
      "understand categories"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.0317B"
    }
  }
}