• Corpus ID: 255340717

Topological entropy for countable Markov shifts and Exel--Laca algebras

@inproceedings{Michimoto2022TopologicalEF,
title={Topological entropy for countable Markov shifts and Exel--Laca algebras},
author={Yuta Michimoto and Yushi Nakano and Hisayoshi Toyokawa and Keisuke Yoshida},
year={2022}
}
• Published 30 December 2022
• Mathematics
A bstract . Weshowthatthe(Gurevich)topologicalentropyforthecountableMarkov shiftassociatedwithaninﬁnitetransitionmatrix A coincides with thenon-commutative topological entropy for the Exel–Laca algebra associated with A , under certain conditions on A . An important example satisfying the conditions is the renewal shift, which is not locally ﬁnite. We also pose interesting questions for future research on non-commutative topological entropy for non-locally ﬁnite transition matrices.
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