Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries
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.
Authors
- Ryoya Arimoto (ORCID: https://orcid.org/0000-0003-4800-3967)
Institutions
- Kyoto University of Education (JP)
Publication Details
- Journal
- Journal of Functional Analysis
- Published
- 2024-11-05
- DOI
- https://doi.org/10.1016/j.jfa.2024.110732
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Japan Society for the Promotion of Science