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Quasi-similarity and joining-stable invariants of ergodic actionsстатья
- Авторы: Ryzhikov V.V., Thouvenot J.P.
- Журнал: ArXiv e-prints
- Номер: arXiv:2303.09546
- Год издания: 2023
- Аннотация: Answering Vershik's question we show that quasi-similarity does not conserve the entropy, proving quasi-similarity of all Bernoulli actions of the groups with an element of infinite order. We produce joining-stable invariants considering zero P-entropy systems and prove an analog of Pinsker's theorem establishing the disjointness of such systems with the actions of comletely positive P-entropy. Then we apply Poisson suspensions to get a class of the corresponding examples.
- Добавил в систему: Рыжиков Валерий Валентинович