Abstract
An example is constructed of a proper factor of a Bernoulli shift, that cannot be increased without increasing its entropy, and still has no independent complement. The construction mirrors, in a sense, that of aK-automorphism that is not a Bernoulli shift.
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References
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This research was supported in part by National Science Research Grant NSF GP 33581 X.
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Ornstein, D.S. Factors of Bernoulli shifts. Israel J. Math. 21, 145–153 (1975). https://doi.org/10.1007/BF02760792
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DOI: https://doi.org/10.1007/BF02760792