تقرير
Boundary maps and covariant representations
| العنوان: | Boundary maps and covariant representations |
|---|---|
| المؤلفون: | Kalantar, Mehrdad, Scarparo, Eduardo |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Operator Algebras |
| الوصف: | We extend applications of Furstenberg boundary theory to the study of $C^*$-algebras associated to minimal actions $\Gamma\!\curvearrowright\! X$ of discrete groups $\Gamma$ on locally compact spaces $X$. We introduce boundary maps on $(\Gamma,X)$-$C^*$-algebras and investigate their applications in this context. Among other results, we completely determine when $C^*$-algebras generated by covariant representations arising from stabilizer subgroups are simple. We also characterize the intersection property of locally compact $\Gamma$-spaces and simplicity of their associated crossed products. Comment: 17 pages. Minor changes. Accepted in the Bulletin of the LMS |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2106.06382 |
| رقم الأكسشن: | edsarx.2106.06382 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |