The nuclear dimension of C⁎-algebras associated to homeomorphisms

We show that if X is a finite dimensional locally compact Hausdorff space, then the crossed product of C0(X) by any automorphism has finite nuclear dimension. This generalizes previous results, in which the automorphism was required to be free. As an application, we show that group C⁎-algebras of certain non-nilpotent groups have finite nuclear dimension.