A simplicial construction of G-equivariant Floer homology

For G a Lie group acting on a symplectic manifold $(M,\omega )$ preserving a pair of Lagrangians $L_0$, $L_1$, under certain hypotheses not including equivariant transversality we construct a G-equivariant Floer cohomology of $L_0$ and $L_1$.