تقرير
On the Takai duality of $L^p$ operator crossed products, II
| العنوان: | On the Takai duality of $L^p$ operator crossed products, II |
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| المؤلفون: | Wang, Zhen, Zhu, Sen |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Mathematics - Operator Algebras |
| الوصف: | This paper aims to study the $L^p$ Takai duality problem raised by N. C. Phillips. Let $G$ be a countable discrete Abelian group, $A$ be a separable unital $L^p$ operator algebra with $p\in [1,\infty)$, and $\alpha$ be an isometric action of $G$ on $A$. When $A$ is $p$-incompressible and has unique $L^p$ operator matrix norms, it is proved in this paper that the iterated $L^p$ operator crossed product $F^{p}(\hat{G},F^p(G,A,\alpha),\hat{\alpha})$ is isometrically isomorphic to $\overline{M}_{G}^{p}\otimes_{p}A$ if and only if $p=2$. Comment: 12 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.02386 |
| رقم الأكسشن: | edsarx.2311.02386 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |