تقرير
Spatial models for boolean actions in the infinite measure-preserving setup
العنوان: | Spatial models for boolean actions in the infinite measure-preserving setup |
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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. |