Abstract.
We extend a result of W. Parry by showing that two locally compact transitive Markov shifts have the same Gurevic entropy iff they have a common entropy preserving extension by a locally compact transitive Markov shift. Additionally, the factor maps can be made countable-to-1 biclosing.
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(Received 12 September 2000; in revised form 16 January 2001)
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Fiebig, D. Common Extensions for Locally Compact Markov Shifts. Mh Math 132, 289–301 (2001). https://doi.org/10.1007/s006050170035
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DOI: https://doi.org/10.1007/s006050170035