Israel Journal of Mathematics

, Volume 40, Issue 3–4, pp 197–216 | Cite as

The relative isomorphism theorem for Bernoulli flows

  • Adam Fieldsteel


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, whereS 1 is ergodic andA has a Bernoulli complement inS 1, 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.


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Copyright information

© The Weizmann Science Press of Israel 1981

Authors and Affiliations

  • Adam Fieldsteel
    • 1
  1. 1.Department of MathematicsWesleyan UniversityMiddletownUSA

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