Crossed products of operator algebras: applications of Takai duality
crossed product, Jacobson Radical, semicrossed product, Takai duality
In this paper we continue our study of crossed products of approximately unital operator algebras begun with our monograph. The main objectives of the paper is to strengthen ties and establish new connections between our theory of crossed products and the well-established theory of semicrossed products. Using these connections we broaden our understanding for various topics of investigation in both theories, including semisimplicity and the structure of invariant ideals by the dual action.
E. Katsoulis and C. Ramsey, "Crossed products of operator algebras: applications of Takai duality", Journal of Functional Analysis 275 (2018), 1173-1207. https://doi.org/10.1016/j.jfa.2018.05.01
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