# 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…

## 2 Citations

C*-irreducibility for reduced twisted group C*-algebras

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. We study C ∗ -irreducibility of inclusions of reduced twisted group C ∗ -algebras and of reduced group C ∗ -algebras. We characterize C ∗ -irreducibility in the case of an inclusion arising from a…

The ideal intersection property for essential groupoid C*-algebras

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We characterise, in several complementary ways, étale groupoids with locally compact Hausdorff space of units whose essential groupoid C∗-algebra has the ideal intersection property, assuming that…

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