Boundary maps and covariant representations

@article{Kalantar2022BoundaryMA,
title={Boundary maps and covariant representations},
journal={Bulletin of the London Mathematical Society},
year={2022}
}
• Published 11 June 2021
• Mathematics
• Bulletin of the London Mathematical Society
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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