Rational equivariant cohomology theories with toral support
Abstract
For an arbitrary compact Lie group G, we describe a model for rational G-spectra with toral geometric isotropy and show that there is a convergent Adams spectral sequence based on it. The contribution from geometric isotropy at a subgroup K of the maximal torus of G is captured by a module over H*(BWG(K)e) with an action of π0(WG(K)), where WG(K)=NG(K)/K and the subscript e denotes the identity component.
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