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

Rafał Pikuła. "On enveloping semigroups of almost one-to-one extensions of minimal group rotations." Colloquium Mathematicae 129.2 (2012): 249-262. <http://eudml.org/doc/283517>.

@article{RafałPikuła2012,
abstract = {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.},
author = {Rafał Pikuła},
journal = {Colloquium Mathematicae},
keywords = {almost one-to-one extension; enveloping semigroup; monothetic group; topological entropy},
language = {eng},
number = {2},
pages = {249-262},
title = {On enveloping semigroups of almost one-to-one extensions of minimal group rotations},
url = {http://eudml.org/doc/283517},
volume = {129},
year = {2012},
}

TY - JOUR
AU - Rafał Pikuła
TI - On enveloping semigroups of almost one-to-one extensions of minimal group rotations
JO - Colloquium Mathematicae
PY - 2012
VL - 129
IS - 2
SP - 249
EP - 262
AB - 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.
LA - eng
KW - almost one-to-one extension; enveloping semigroup; monothetic group; topological entropy
UR - http://eudml.org/doc/283517
ER -