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Rational torus-equivariant homotopy I: calculating groups of stable maps

By J.P.C. Greenlees

Abstract

We construct an abelian category A(G) of sheaves over a category of closed\ud subgroups of the r-torus G and show it is of finite injective dimension. It can\ud be used as a model for rational $G$-spectra in the sense that there is a\ud homology theory\ud \piA_*: G-spectra/Q --> A(G) on rational G-spectra with values in A(G), and\ud the associated Adams spectral sequence converges for all rational $G$-spectra\ud and collapses at a finite stage.\u

Publisher: Elsevier
Year: 2008
OAI identifier: oai:eprints.whiterose.ac.uk:7809

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