Topological boundaries of covariant representations

Massoud Amini; Sajad Zavar

Topological boundaries of covariant representations

Operator Algebras 2021-12-20 v1 Dynamical Systems

Authors: Massoud Amini , Sajad Zavar

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.

Keywords

covariant representation c*-dynamical system topological boundary crossed product c*-algebra amenability trace rigidity

Cite

@article{arxiv.2112.09491,
  title  = {Topological boundaries of covariant representations},
  author = {Massoud Amini and Sajad Zavar},
  journal= {arXiv preprint arXiv:2112.09491},
  year   = {2021}
}

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