Boundary maps and covariant representations

@article{Kalantar2022BoundaryMA,
  title={Boundary maps and covariant representations},
  author={Mehrdad Kalantar and Eduardo Scarparo},
  journal={Bulletin of the London Mathematical Society},
  year={2022}
}
We extend applications of Furstenberg boundary theory to the study of C∗-algebras associated to minimal actions ΓyX of discrete groups Γ on locally compact spaces X. We introduce boundary maps on (Γ, X)C∗-algebras and investigate their applications in this context. Among other results, we completely determine when C∗-algebras generated by covariant representations arising from stabilizer subgroups are simple. We also characterize the intersection property of locally compact Γ-spaces and… 
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