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arXiv · 2312.15754

Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries

Ryoya Arimoto
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Abstract

We prove that if a totally disconnected locally compact group admits a topologically free boundary, then the reduced crossed product of continuous functions on its Furstenberg boundary by the group is simple. We also prove a partial converse of this result.

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Ryoya Arimoto. 2023-12-25. Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries. https://doi.org/10.1016/j.jfa.2024.110732

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