Geodesic
On enveloping semigroups of almost one-to-one extensions of minimal group rotations
Rafał Pikuła1
1 Institute of Mathematics and Computer Science Wrocław University of Technology Wybrzeźe Wyspiańskiego 27 50-370 Wrocław, Poland
Colloquium Mathematicum, Tome 129 (2012) no. 2, pp. 249-262.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm129-2-6
Keywords: consider class symbolic systems finite alphabet which minimal almost one to one extensions rotations compact metric monothetic groups provide computations their enveloping semigroups highlight their algebraic structure describe set idempotents these semigroups introduce classification help distinguish between certain systems having zero topological entropy

Rafał Pikuła 1

1 Institute of Mathematics and Computer Science Wrocław University of Technology Wybrzeźe Wyspiańskiego 27 50-370 Wrocław, Poland 
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Rafał Pikuła. On enveloping semigroups of almost one-to-one extensions of minimal group rotations. Colloquium Mathematicum, Tome 129 (2012) no. 2, pp. 249-262. doi : 10.4064/cm129-2-6. http://geodesic.mathdoc.fr/articles/10.4064/cm129-2-6/

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