Norming in Discrete Crossed Products

Let \(G \curvearrowright A\) be an action of a discrete group on a unital \(C^*\)-algebra by \(*\)-automorphisms. In this note, we give two sufficient dynamical conditions for the \(C^*\)-inclusion \(A \subseteq A \rtimes_r G\) to be norming in the sense of Pop, Sinclair, and Smith. As a consequence...

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Bibliographic Details
Published in:arXiv.org 2023-07
Main Authors: Pitts, David R, Smith, Roger R, Zarikian, Vrej
Format: Article
Language:English
Subjects:
Automorphisms
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Summary:Let \(G \curvearrowright A\) be an action of a discrete group on a unital \(C^*\)-algebra by \(*\)-automorphisms. In this note, we give two sufficient dynamical conditions for the \(C^*\)-inclusion \(A \subseteq A \rtimes_r G\) to be norming in the sense of Pop, Sinclair, and Smith. As a consequence of our results, when \(A\) is separable or simple, the inclusion \(A \subseteq A \rtimes_r G\) is norming provided it has a unique pseudo-expectation in the sense of Pitts.
ISSN:2331-8422