Report
Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries
| العنوان: | Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries |
|---|---|
| المؤلفون: | Arimoto, Ryoya |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Operator Algebras, Mathematics - Group Theory, 37A55, 46L05, 22D25 |
| الوصف: | 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. Comment: 11 pages(v1), 14 pages(v2, v3); major restructuring. proof of the main theorem changed(v2); typos corrected(v3) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.15754 |
| رقم الانضمام: | edsarx.2312.15754 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |