تقرير
Spatial models for boolean actions in the infinite measure-preserving setup
| العنوان: | Spatial models for boolean actions in the infinite measure-preserving setup |
|---|---|
| المؤلفون: | Hoareau, Fabien, Maître, François Le |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, Mathematics - Group Theory, Mathematics - Operator Algebras |
| الوصف: | We show that up to a null set, every infinite measure-preserving action of a locally compact Polish group can be turned into a continuous measure-preserving action on a locally compact Polish space where the underlying measure is Radon. We also investigate the distinction between spatial and boolean actions in the infinite measure-preserving setup. We finally obtain a streamlined proof of a recent result of Avraham-Re'em and Roy: Levy groups cannot admit nontrivial continous measure-preserving actions on Polish spaces when the measure is locally finite. Comment: 39 pages, comments welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.02401 |
| رقم الأكسشن: | edsarx.2406.02401 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |