تقرير
Topologically free actions and ideals in twisted Banach algebra crossed products
| العنوان: | Topologically free actions and ideals in twisted Banach algebra crossed products |
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| المؤلفون: | Bardadyn, K., Kwaśniewski, B. K. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Mathematics - Operator Algebras, 47L10, 16S35, 54H15 |
| الوصف: | We generalize the well known $C^*$-algebraic result of Kawamura-Tomiyama and Archbold-Spielberg for crossed products of discrete transformation groups to the realm of Banach algebras and twisted actions. Namely we show that topological freeneess is equivalent to the intersection property for all reduced twisted Banach algebra crossed products coming from subgroups, and in the untwisted case to a generalized intersection property for a full $L^p$-operator algebra crossed product for some (and hence any) $p\in [1,\infty]$. This gives efficient simplicity criteria for various Banach algebra crossed products. We also use it to identify the prime ideal space of some crossed products as the quasi-orbit space of the action. For amenable actions we prove that the full and reduced twisted $L^p$-operator algebras coincide. Comment: 25 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.01685 |
| رقم الأكسشن: | edsarx.2307.01685 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |