  We associate a bivariant theory to any suitable oriented Borel-Moore homology
theory on the category of algebraic schemes or the category of algebraic
G-schemes. Applying this to the theory of algebraic cobordism yields
operational cobordism rings and operational G-equivariant cobordism rings
associated to all schemes in these categories. In the case of toric varieties,
the operational T-equivariant cobordism ring may be described as the ring of
piecewise graded power series on the fan with coefficients in the Lazard ring.
