تقرير
Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms
| العنوان: | Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms |
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| المؤلفون: | Chifan, I., Ioana, A., Osin, D., Sun, B. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Operator Algebras, Mathematics - Group Theory |
| الوصف: | Given a countable group $G$, let ${\rm L}(G)$ denote its von Neumann algebra. For a wide class of ICC groups with Kazhdan's property (T), we confirm a conjecture of V.F.R. Jones asserting that $Out(\text{L}(G))\cong Char (G)\rtimes Out(G)$. As an application, we show that, for every countable group $Q$, there exists an ICC group $G$ with property (T) such that $Out(\text{L}(G))\cong Q$. Comment: Some results of this paper were originally included in the first version of arXiv:2111.04708, which is now subdivided into three separate papers. Compared to arXiv:2111.04708v1, the main result (Theorem 1.5) is strengthened and its proof is based on a different idea. v2: Introduction rewritten |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2304.07457 |
| رقم الأكسشن: | edsarx.2304.07457 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |