مورد إلكتروني
Amenability, proximality and higher-order syndeticity
| العنوان: | Amenability, proximality and higher-order syndeticity |
|---|---|
| بيانات النشر: | Stockholms universitet, Matematiska institutionen 2022 |
| تفاصيل مُضافة: | Kennedy, Matthew Raum, Sven Salomon, Guy |
| نوع الوثيقة: | Electronic Resource |
| مستخلص: | We show that the universal minimal proximal flow and the universal minimal strongly proximal flow of a discrete group can be realized as the Stone spaces of translation-invariant Boolean algebras of subsets of the group satisfying a higher-order notion of syndeticity. We establish algebraic, combinatorial and topological dynamical characterizations of these subsets that we use to obtain new necessary and sufficient conditions for strong amenability and amenability. We also characterize dense orbit sets, answering a question of Glasner, Tsankov, Weiss and Zucker. |
| مصطلحات الفهرس: | amenable group, proximal action, syndetic subset, Furstenberg correspondence, dense orbit set, Mathematics, Matematik, Article in journal, info:eu-repo/semantics/article, text |
| DOI: | 10.1017.fms.2022.11 |
| URL: | 2022, 10 Forum of Mathematics, Sigma, 2022, 10 |
| الإتاحة: | Open access content. Open access content info:eu-repo/semantics/restrictedAccess |
| ملاحظة: | English |
| أرقام أخرى: | UPE oai:DiVA.org:su-204674 0000-0002-9188-9890 doi:10.1017/fms.2022.11 ISI:000789315000001 1356420351 |
| المصدر المساهم: | UPPSALA UNIV LIBR From OAIster®, provided by the OCLC Cooperative. |
| رقم الأكسشن: | edsoai.on1356420351 |
| قاعدة البيانات: | OAIster |
| DOI: | 10.1017.fms.2022.11 |
|---|