تقرير
SAT actions of discrete quantum groups and minimal injective extensions of their von Neumann algebras
| العنوان: | SAT actions of discrete quantum groups and minimal injective extensions of their von Neumann algebras |
|---|---|
| المؤلفون: | Kalantar, Mehrdad, Khosravi, Fatemeh, Moakhar, Mohammad S. M. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Operator Algebras, Mathematics - Quantum Algebra, Primary: 46L55, 46L67, Secondary: 46L10, 37A55 |
| الوصف: | We introduce a natural generalization of the notion of strongly approximately transitive (SAT) states for actions of locally compact quantum groups. In the case of discrete quantum groups of Kac type, we show that the existence of unique stationary SAT states entails rigidity results concerning injective extensions of quantum group von Neumann algebras. Comment: v2: Revised version, updated based on referee comments. Accepted for publication in the Proceedings of the American Mathematical Society, 16 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2112.07206 |
| رقم الأكسشن: | edsarx.2112.07206 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |