تقرير
On fixed point property for $L_p$-representations of Kazhdan groups
| العنوان: | On fixed point property for $L_p$-representations of Kazhdan groups |
|---|---|
| المؤلفون: | Czuron, Alan, Kalantar, Mehrdad |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Functional Analysis |
| الوصف: | Let $G$ be a topological group with finite Kazhdan set, let $\Omega$ be a standard Borel space and $\mu$ a finite measure on $\Omega$. We prove that for any $p\in [1, \infty)$, any affine isometric action $G \curvearrowright L_p(\Omega, \mu)$ whose linear part arises from an ergodic measure-preserving action $G \curvearrowright (\Omega, \mu)$, has a fixed point. Comment: Few minor changes |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2007.15168 |
| رقم الأكسشن: | edsarx.2007.15168 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |