2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218973Let $(\A, α)$ and $(\B, β)$ be C*-dynamical systems and assume that $\A$ is a separable simple C*-algebra and that $α$ and $β$ are *-automorphisms. Then the semicrossed products $\A \times_α \bbZ^{+}$ and $\B \times_β \bbZ^{+}$ are isometrically isomorphic if and only if the dynamical systems $(\A, α)$ and $(\B, β)$ are outer conjugate.12 pages, accepted for publication in Math. AnnOperator AlgebrasFunctional Analysis47L65, 46L40text