On Pinsker factors for Rokhlin entropy
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Tome 432 (2015), pp. 30-35
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In this paper we prove that any dynamical system has a unique maximal factor of zero Rokhlin entropy, the so-called Pinsker factor. It is also proven that if the system is ergodic and this factor has no atoms, then the system is a relatively weakly mixing extension of its Pinsker factor.
@article{ZNSL_2015_432_a1,
author = {A. V. Alpeev},
title = {On {Pinsker} factors for {Rokhlin} entropy},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {30--35},
publisher = {mathdoc},
volume = {432},
year = {2015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_432_a1/}
}
A. V. Alpeev. On Pinsker factors for Rokhlin entropy. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Tome 432 (2015), pp. 30-35. http://geodesic.mathdoc.fr/item/ZNSL_2015_432_a1/