  We establish finite nuclear dimension for crossed product C*-algebras arising
from various classes of possibly non-free topological actions, including
arbitrary actions of finitely generated virtually nilpotent groups on finite
dimensional spaces, certain amenable actions of hyperbolic groups, and certain
allosteric actions of wreath products. We obtain these results by introducing a
new notion of dimension for topological dynamical systems, called the long thin
covering dimension, which involves a suitable version of Rokhlin-type towers
with controlled overlaps for possibly non-free actions.
