  We show that C*-algebras generated by irreducible representations of finitely
generated nilpotent groups satisfy the universal coefficient theorem of
Rosenberg and Schochet. This result combines with previous work to show that
these algebras are classifiable by their Elliott invariants within the class of
unital, simple, separable, nuclear C*-algebras with finite nuclear dimension
that satisfy the universal coefficient theorem. We also show that these
C*-algebras are central cutdowns of twisted group C*-algebras with
homotopically trivial cocycles.
