Classifying Rational G-Spectra for Finite G


Autoria(s): Barnes, David
Data(s)

08/05/2009

Resumo

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.

Identificador

http://pure.qub.ac.uk/portal/en/publications/classifying-rational-gspectra-for-finite-g(9829cc48-b124-4c94-bf84-a16ccfb8186f).html

http://dx.doi.org/10.4310/HHA.2009.v11.n1.a7

Idioma(s)

eng

Direitos

info:eu-repo/semantics/closedAccess

Fonte

Barnes , D 2009 , ' Classifying Rational G-Spectra for Finite G ' Homology, Homotopy and Applications , vol 11 , no. 1 , pp. 141-170 . DOI: 10.4310/HHA.2009.v11.n1.a7

Palavras-Chave #equivariant cohomology #spectra #model categories
Tipo

article