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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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Published in: | arXiv.org 2023-07 |
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description | 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. |
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subjects | Automorphisms |
title | Norming in Discrete Crossed Products |
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