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arXiv · 1802.04793

Continuous shift commuting maps between ultragraph shift spaces

Daniel Gonçalves·Marcelo Sobottka
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Abstract

Recently a generalization of shifts of finite type to the infinite alphabet case was proposed, in connection with the theory of ultragraph C*-algebras. In this work we characterize the class of continuous shift commuting maps between these spaces. In particular, we prove a Curtis-Hedlund-Lyndon type theorem and use it to completely characterize continuous, shift commuting, length preserving maps in terms of generalized sliding block codes.

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Daniel Gonçalves, Marcelo Sobottka. 2018-02-13. Continuous shift commuting maps between ultragraph shift spaces. https://doi.org/10.3934/dcds.2019043

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