  We study the effect of topology for a random matrix model of QCD at nonzero
imaginary chemical potential or nonzero temperature. Non-universal fluctuations
of Dirac eigenvalues lead to normalization factors that contribute to the
$\theta$-dependence of the partition function. These normalization factors have
to be canceled in order to reproduce the $\theta$-dependence of the QCD
partition function. The reason for this behavior is that the topological domain
of the Dirac spectrum (the region of the Dirac spectrum that is sensitive to
the topological charge) extends beyond the microscopic domain at nonzero
imaginary chemical potential or temperature. Such behavior could persist in
certain lattice formulations of QCD.
