On enveloping semigroups of almost one-to-one extensions of minimal group rotations

• Autorzy: Rafał Pikuła
• Języki publikacji: EN

Abstrakty

EN

We consider a class of symbolic systems over a finite alphabet which are minimal almost one-to-one extensions of rotations of compact metric monothetic groups and provide computations of their enveloping semigroups that highlight their algebraic structure. We describe the set of idempotents of these semigroups and introduce a classification that can help distinguish between certain such systems having zero topological entropy.

Kategorie tematyczne

• 54H20: Topological dynamics
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 129
• Numer: 2
• Strony: 249-262

Daty

wydano

2012

Twórcy

autor

Rafał Pikuła

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeźe Wyspiańskiego 27, 50-370 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm129-2-6