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A construction of subshifts and a class of semigroups

Part of: Semigroups Topological dynamics

Published online by Cambridge University Press:  22 January 2020

TOSHIHIRO HAMACHI  and
WOLFGANG KRIEGER
TOSHIHIRO HAMACHI
Affiliation:
Faculty of Mathematics, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka819-0395, Japan email t.hamachi.796@m.kyushu-u.ac.jp
WOLFGANG KRIEGER
Affiliation:
Institute for Applied Mathematics, University of Heidelberg, Im Neuenheimer Feld 205, 69120Heidelberg, Germany email krieger@math.uni-heidelberg.de
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Abstract

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Subshifts with property $(A)$ are constructed from a class of directed graphs. As special cases the Markov–Dyck shifts are shown to have property $(A)$. The semigroups that are associated to ${\mathcal{R}}$-graph shifts with Property $(A)$ are determined.

Keywords

symbolic dynamics𝓡-graph shiftProperty (A)semigroup

MSC classification

Primary: 37B10: Symbolic dynamics
Secondary: 20M05: Free semigroups, generators and relations, word problems
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 41 , Issue 3 , March 2021 , pp. 881 - 905
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s) 2020

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