Graph stable equivalences and operadic constructions in equivariant spectra

One of the key insights of the work of Blumberg and Hill in [2] is that, when dealing with operads on genuine G-spectra, the homotopy theory of algebras over an operad is not merely determined by the operad up to levelwise G-equivalence. In this paper we introduce a notion of G-graph stable equivalence for operads inG-spectra, then show that the maps of… (More)