For an arbitrary compact Lie group , we describe a model for rational –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 of the maximal torus of is captured by a module over with an action of , where is the identity component of .
"Rational equivariant cohomology theories with toral support." Algebr. Geom. Topol. 16 (4) 1953 - 2019, 2016. https://doi.org/10.2140/agt.2016.16.1953