We construct an abelian category A(G) of sheaves over a category of closed subgroups of the r-torus G and show that it is of finite injective dimension. It can be used as a model for rational G-spectra in the sense that there is a homology theory pi(A)(*) : G-spectra -> A(G) on rational G-spectra with values in A(G) and the associated Adams spectral sequence converges for all rational G-spectra and collapses at a finite stage. (C) 2007 Elsevier B.V. All rights reserved.
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