  We generalize the K\"unneth formula for Chow groups to an arbitrary
OBM-homology theory satisfying descent (e.g. algebraic cobordism) when taking a
product with a toric variety. As a corollary we obtain a universal coefficient
theorem for the operational cohomology rings. We also give a description for
the homology groups of smooth toric varieties, that allows the calculation of
algebraic cobordism groups of singular toric varieties. Some computations are
carried out.
