2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64828Let A be an exact C^*-algebra, let G be a locally compact group, and let (A,G,α) be a C*-dynamical system. Each automorphism α_g induces a spatial automorphism Ad_{\lamba_g} on the reduced crossed product A\times_αG. In this paper we examine the question, first raised by E. Stormer, of when the topological entropies of α_g and Ad_{α_g} coincide. This had been answered by N. Brown for the particular case of discrete abelian groups. Using different methods, we extend his result to a wider class of groups called locally [FIA]^-. This class includes all abelian groups, both discrete and continuous, as well as all compact groups.A few corrections suggested by the referee. To appear in Journal of Functional AnalysisOperator AlgebrasMathematical PhysicsCrossed products and entropy of automorphismstext