  For a torus G of rank r = 1, we showed that the canonical ring homomorphism
L_G \to MU_G, where L_G is the equivariant Lazard ring and MU_G is the
equivariant cobordism ring introduced by Tom Dieck, is surjective. We also
showed that the completion map MU_G \to \hat{MU}_G = MU(BG) is injective.
Moreover, we showed that the same results hold if we assume a certain algebraic
property holds in L_G when r \geq 2.
