Classifying Rational G-Spectra for Finite G

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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.
Original languageEnglish
Pages (from-to)141-170
Number of pages30
JournalHomology, Homotopy and Applications
Volume11
Issue number1
DOIs
Publication statusPublished - 08 May 2009

Keywords

  • equivariant cohomology
  • spectra
  • model categories

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