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arXiv · 2112.09491

Topological boundaries of covariant representations

Massoud Amini·Sajad Zavar
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Abstract

We associate a boundary $\mathcal B_{\pi,u}$ to each covariant representation $(\pi,u,H)$ of $C^*$-dynamical system $(G,A,\alpha)$ and study the action of $G$ on $\mathcal B_{\pi,u}$ and its amenability properties. We relate rigidity properties of traces on the associated crossed product C*-algebra to faithfulness of action of the group on this boundary.

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Massoud Amini, Sajad Zavar. 2021-12-17. Topological boundaries of covariant representations. https://arxiv.org/abs/2112.09491

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