Search: All articles in the CJM digital archive with keyword reflexivity
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||Free Multivariate w*-Semicrossed Products: Reflexivity and the Bicommutant Property|
We study w*-semicrossed products over actions of the free semigroup
and the free abelian semigroup on (possibly non-selfadjoint)
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 of factors (on a separable Hilbert space) are reflexive.
Furthermore we show that w*-semicrossed products of automorphic
actions on maximal abelian selfadjoint algebras are reflexive.
In all cases we prove that the w*-semicrossed products have the
bicommutant property if and only if the ambient algebra of the
dynamics does also.
Keywords:reflexivity, semicrossed product
Categories:47A15, 47L65, 47L75, 47L80