The authors construct a stable model structure on orthogonal G-spectra for every Lie group G, with equivalences tested on compact subgroups, whose homotopy category is compactly generated and represents equivariant K-theory and stable cohomotopy.
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Proper equivariant stable homotopy theory
The authors construct a stable model structure on orthogonal G-spectra for every Lie group G, with equivalences tested on compact subgroups, whose homotopy category is compactly generated and represents equivariant K-theory and stable cohomotopy.