{
  "id": "1101.4818",
  "version": "v3",
  "published": "2011-01-25T14:07:41.000Z",
  "updated": "2013-05-20T20:29:08.000Z",
  "title": "An algebraic model for free rational G-spectra",
  "authors": [
    "J. P. C. Greenlees",
    "B. E. Shipley"
  ],
  "comment": "Further minor expository changes and clarifications",
  "doi": "10.1112/blms/bdt066",
  "categories": [
    "math.AT"
  ],
  "abstract": "We show that for any compact Lie group $G$ with identity component $N$ and component group $W=G/N$, the category of free rational $G$-spectra is equivalent to the category of torsion modules over the twisted group ring $H^*(BN)[W]$. This gives an algebraic classification of rational $G$-equivariant cohomology theories on free $G$-spaces and a practical method for calculating the groups of natural transformations between them. This uses the methods of arXiv:1101.2511, and some readers may find the simpler context of the present paper highlights the main thread of the argument.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-05-20T20:29:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P42",
      "55P62",
      "55P91",
      "55N91"
    ],
    "keywords": [
      "free rational g-spectra",
      "algebraic model",
      "compact lie group",
      "equivariant cohomology theories",
      "identity component"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.4818G"
    }
  }
}