Symplectic Convexity for Orbifolds

Let a connected compact Lie group G act on a connected symplectic orbifold of orbifoldfundamental group Γ.If the action preserves the symplectic structure and there is a G-equivariant andmod-Γ proper momentum map for the lifted action on the universal branch covering orbifold,and ifthe lifted G-action commutes with that of Γ,then the symplectic convexity theorem is still true for thiskind of lifted Hamiltonian action.