We give a method for computing the -equivariant homotopy groups of the Betti realization of a -complete cellular motivic spectrum over in terms of its motivic homotopy groups. More generally, we show that Betti realization presents the -equivariant -complete stable homotopy category as a localization of the -complete cellular real motivic stable homotopy category.
"$C_2$-equivariant stable homotopy from real motivic stable homotopy." Ann. K-Theory 5 (3) 411 - 464, 2020. https://doi.org/10.2140/akt.2020.5.411