Classifying rational $G$-spectra for finite $G$
Barnes, David
Homology Homotopy Appl., Tome 11 (2009) no. 1, p. 141-170 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  Equivariant cohomology,  55N91,  55P42 
@article{1251832563,
     author = {Barnes, David},
     title = {Classifying rational $G$-spectra for finite $G$},
     journal = {Homology Homotopy Appl.},
     volume = {11},
     number = {1},
     year = {2009},
     pages = { 141-170},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1251832563}
}

Barnes, David. Classifying rational $G$-spectra for finite $G$. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp.  141-170. http://gdmltest.u-ga.fr/item/1251832563/