Equivariant rational homotopy theory as a closed model category

摘要

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