  In this paper, we give a complete, two-way characterization, of when a
noncommutative crossed product $A \rtimes_\lambda G$ is simple, in the case of
$G$ being an FC-hypercentral group. This is a large class of amenable groups
that contains all virtually nilpotent groups, and in the finitely-generated
setting, coincides with the set of groups which have polynomial growth. We
further completely characterize the ideal intersection property under the
assumption that the group is FC, meaning that every element has a finite
conjugacy class. Finally, for minimal actions of arbitrary discrete groups on
unital C*-algebras, we are able to characterize when the crossed product $A
\rtimes_\lambda G$ is prime.
