Israel Journal of Mathematics

, Volume 40, Issue 3, pp 197–216

The relative isomorphism theorem for Bernoulli flows

Authors

  • Adam Fieldsteel
    • Department of MathematicsWesleyan University
Article

DOI: 10.1007/BF02761362

Cite this article as:
Fieldsteel, A. Israel J. Math. (1981) 40: 197. doi:10.1007/BF02761362

Abstract

In this paper we extend the work of Thouvenot and others on Bernoulli splitting of ergodic transformations to ergodic flows of finite entropy. We prove that ifA is a factor of a flowS, whereS1 is ergodic andA has a Bernoulli complement inS1, thenA has a Bernoulli complement inS. Consequently, Bernoulli splitting for flows is stable under taking intermediate factors and certain\(\bar d\) limits. In addition it follows that the property of isomorphism with a Bernoulli × zero entropy flow is similarly stable.

Copyright information

© The Weizmann Science Press of Israel 1981