Rational equivariant cohomology theories with toral support
arXiv:1501.03425 · doi:10.2140/agt.2016.16.1953
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^*(BW_G(K)_e) with an action of π_0(W_G(K)), where W_G(K)=N_G(K)/K and the subscript e denotes the identity component.
Additional details, especially on the construction, realization and use of injectives. Improved exposition