{
  "id": "2204.03797",
  "version": "v1",
  "published": "2022-04-08T01:00:16.000Z",
  "updated": "2022-04-08T01:00:16.000Z",
  "title": "On the $KU_G$-local equivariant sphere",
  "authors": [
    "Peter J. Bonventre",
    "Bertrand J. Guillou",
    "Nathaniel J. Stapleton"
  ],
  "comment": "25 pages. Comments welcome!",
  "categories": [
    "math.AT"
  ],
  "abstract": "Equivariant complex $K$-theory and the equivariant sphere spectrum are two of the most fundamental equivariant spectra. For an odd $p$-group, we calculate the zeroth homotopy Green functor of the localization of the equivariant sphere spectrum with respect to equivariant complex $K$-theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-08T01:00:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local equivariant sphere",
      "equivariant sphere spectrum",
      "equivariant complex",
      "zeroth homotopy green functor",
      "fundamental equivariant spectra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}