  We obtain deformations of a crossed product of a polynomial algebra with a
group, under some conditions, from universal deformation formulas. We show that
the resulting deformations are nontrivial by a comparison with Hochschild
cohomology. The universal deformation formulas arise from actions of Hopf
algebras generated by automorphisms and skew derivations, and are universal in
the sense that they apply to deform all algebras with such Hopf algebra
actions.
