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A theorem on the Markov periodic approximation in ergodic theory

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Abstract

One presents a new variant of the theory of periodic approximations of dynamical systems and C*-algebras, namely the construction for each automorphism of the Lebesgue space of a Markov tower (or adic model) of periodic automorphisms. One gives several examples.

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Literature cited

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Authors
  1. A. M. Vershik
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 115, pp. 72–82, 1982.

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Vershik, A.M. A theorem on the Markov periodic approximation in ergodic theory. J Math Sci 28, 667–674 (1985). https://doi.org/10.1007/BF02112330

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  • DOI: https://doi.org/10.1007/BF02112330

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