  Let $(\A, \alpha)$ and $(\B, \beta)$ be C*-dynamical systems and assume that
$\A$ is a separable simple C*-algebra and that $\alpha$ and $\beta$ are
*-automorphisms. Then the semicrossed products $\A \times_{\alpha} \bbZ^{+}$
and $\B \times_{\beta} \bbZ^{+}$ are isometrically isomorphic if and only if
the dynamical systems $(\A, \alpha)$ and $(\B, \beta)$ are outer conjugate.
