On extensions of subshifts by finite groups |
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Authors: | Kengo Matsumoto |
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Affiliation: | Department of Mathematics, Joetsu University of Education, Joetsu, Japan |
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Abstract: | λ-Graph systems are labelled Bratteli diagrams with shift operations. They present subshifts. Their matrix presentations are called symbolic matrix systems. We define skew products of λ-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. |
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Keywords: | Subshifts λ-graph systems symbolic matrix systems finite groups topological conjugacy strong shift equivalence skewing functions |
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