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Automorphisms of the Bernoulli endomorphism and a class of skew-products

Published online by Cambridge University Press:  19 September 2008

William Parry
William Parry
Affiliation:
Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK
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Abstract

We consider a class of skew-products with base the one-sided two-shift equipped with the (½, ½)Bernoulli measure and fibre either or the circle. We give conditions for the first kind to be isomorphic to the base itself and use this result to establish an isomorphism with the base for the second kind when a certain irrationalis very well approximated by rationals. A consequence is that there is a circle action of automorphisms commuting with theone-sided two-shift.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 16 , Issue 3 , June 1996 , pp. 519 - 529
Copyright
Copyright © Cambridge University Press 1996

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References

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