Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries
arXiv:2312.15754 · doi:10.1016/j.jfa.2024.110732
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.
11 pages(v1), 14 pages(v2, v3); major restructuring. proof of the main theorem changed(v2); typos corrected(v3)