ON ENVELOPING SEMIGROUPS OF ALMOST ONE-TO-ONE EXTENSIONS OF MINIMAL GROUP ROTATIONS

被引：1

作者：

Pikula, Rafal ^{[1
]}

机构：

[1] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

来源：

COLLOQUIUM MATHEMATICUM | 2012年 / 129卷 / 02期

关键词：

almost one-to-one extension; enveloping semigroup; monothetic group; topological entropy; TOEPLITZ FLOWS;

D O I：

10.4064/cm129-2-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：249 / 262

页数：14

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