تقرير
Non-Hausdorff germinal groupoids for actions of countable groups
| العنوان: | Non-Hausdorff germinal groupoids for actions of countable groups |
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| المؤلفون: | Lukina, Olga |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, Mathematics - Group Theory, Primary: 22A22, 37B05, Secondary: 22C05, 22A05, 37B45 |
| الوصف: | We study conditions under which the germinal groupoid associated to a minimal equicontinuous action of a countable group on a Cantor set has non-Hausdorff topology. We develop a new criterion, which serves as an obstruction for the \'etale topology on the groupoid to be non-Hausdorff. We use this and other criteria to study the topology of germinal groupoids for a few classes of actions. In particular, we give examples of families of contracting and non-contracting self-similar groups, which are amenable and whose actions have associated germinal groupoids with non-Hausdorff topology. Comment: 31 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.06340 |
| رقم الأكسشن: | edsarx.2309.06340 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |