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arXiv · 2212.11188

Invertible and noninvertible symbolic dynamics and their C*-algebras

Kevin Aguyar Brix
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Abstract

This paper surveys the recent advances in the interactions between symbolic dynamics and C*-algebras. We explain how conjugacies and orbit equivalences of both two-sided (invertible) and one-sided (noninvertible) symbolic systems may be encoded into C*-algebras, and how the dynamical systems can be recovered from structure-preserving *-isomorphisms of C*-algebras. We have included many illustrative examples as well as open problems.

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Kevin Aguyar Brix. 2022-12-21. Invertible and noninvertible symbolic dynamics and their C*-algebras. https://arxiv.org/abs/2212.11188

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