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- Title
CLASSIFYING RATIONAL G-SPECTRA FOR FINITE G.
- Authors
BARNES, DAVID
- 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.
- Subjects
FINITE groups; MODEL categories (Mathematics); MATHEMATICAL complexes; MODULES (Algebra); GROUP rings; HOMOTOPY equivalences; MATHEMATICAL analysis
- Publication
Homology, Homotopy & Applications, 2009, Vol 11, Issue 1, p141
- ISSN
1532-0073
- Publication type
Article
- DOI
10.4310/HHA.2009.v11.n1.a7