Equivariant rational homotopy theory as a closed model category Original Research Article

In this note we present a variant of the algebraization of equivariant rational homotopy theory. For a finite group G, let øO(G) be the category of its canonical orbits. We prove that the category øO(G)-DGAimage of øO(G)-differential graded algebras over the rationals is a closed model category. Then, by means of the equivariant KS-minimal models constructed in this paper, we show that the homotopy category of øO(G)-DGAimage is equivalent to the rational homotopy category of øO(G)-simplicial sets provided G is a Hamiltonian group.