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arXiv · 1509.03307

On extensions of subshifts by finite groups

Kengo Matsumoto
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Abstract

$\lambda$-graph systems are labeled Bratteli diagram with shift operations. They present subshifts. Their matrix presentations are called symbolic matrix systems. We define skew products of $\lambda$-graph systems and study extensions of subshifts by finite groups. We prove that two canonical symbolic matrix systems are $G$-strong shift equivalent if and only if their presented subshifts are $G$-conjugate. $G$-equivalent classes of subshifts are classified by the cohomology classes of their associated skewing functions.

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Kengo Matsumoto. 2015-09-10. On extensions of subshifts by finite groups. https://arxiv.org/abs/1509.03307

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