Geodesic
A theorem on the Markov periodic approximation in ergodic theory
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 72-82

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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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     author = {A. M. Vershik},
     title = {A theorem on the {Markov} periodic approximation in ergodic theory},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {115},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a5/}
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A. M. Vershik. A theorem on the Markov periodic approximation in ergodic theory. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 72-82. http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a5/