Isometric Extensions of zero entropy ℤ^{𝕕} Loosely Bernoulli Transformations

Johnson, Aimee; Şahi̇n, Ayşe

doi:10.1090/S0002-9947-99-02500-3

Isometric Extensions of zero entropy $\mathbb Z^{d}$ Loosely Bernoulli Transformations
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by Aimee S. A. Johnson and Ayşe A. Şahi̇n PDF

Trans. Amer. Math. Soc. 352 (2000), 1329-1343 Request permission

Abstract:

In this paper we discuss loosely Bernoulli for $\mathbb Z^d$ actions. In particular, we prove that extensions of zero entropy, ergodic, loosely Bernoulli $\mathbb Z^d$ actions are also loosely Bernoulli.

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