English

Classifying Rational G-Spectra for Finite G

Algebraic Topology 2008-12-02 v1

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.

Keywords

Cite

@article{arxiv.0812.0317,
  title  = {Classifying Rational G-Spectra for Finite G},
  author = {David Barnes},
  journal= {arXiv preprint arXiv:0812.0317},
  year   = {2008}
}

Comments

30 pages

R2 v1 2026-06-21T11:47:11.469Z