Free Multivariate w*-Semicrossed Products: Reflexivity and the Bicommutant Property
Free Multivariate w*-Semicrossed Products: Reflexivity and the Bicommutant Property
Abstract We study w*-semicrossed products over actions of the free semigroup and the free abelian semigroup on (possibly non-selfadjoint) w*-closed algebras. We show that they are reflexive when the dynamics are implemented by uniformly bounded families of invertible row operators. Combining with results of Helmer, we derive that w*-semicrossed products …