Distinguished varieties in Theta_n are shown to admit a determinantal representation, and pure Theta_n-contractions satisfying an assumed fundamental-operator condition are given dilations, functional models, and a von Neumann inequality on distinguished varieties.
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Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$
Distinguished varieties in Theta_n are shown to admit a determinantal representation, and pure Theta_n-contractions satisfying an assumed fundamental-operator condition are given dilations, functional models, and a von Neumann inequality on distinguished varieties.