Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence
Abstract
We provide a calculational method for rational stable equivariant homotopy theory for a torus G based on the homology of the Borel construction on fixed points. More precisely we define an abelian torsion model, At(G) of finite injective dimension, a homology theory πAt* taking values in At(G) based on the homology of the Borel construction, and a finite Adams spectral sequence ExtAt(G)*,*(πAt*(X), πAt*(Y)) ==> [X,Y]G* for rational G-spectra X and Y.
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