Conjugate Dynamical Systems on C*-algebras

الأصل · EN

Let (A, α) and (B, β) be C*-dynamical systems where α and β are arbitrary *-endomorphisms. When α is injective or surjective, we show that the semicrossed products A ×αZ and B ×βZ are isometrically isomorphic if and only if (A, α) and (B, β) are outer conjugate. This conclusion also holds in various other cases as well.