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A classification of the isometric extensions of a multidimensional Bernoulli shift

Published online by Cambridge University Press:  19 September 2008

Janet Whalen Kammeyer
Janet Whalen Kammeyer
Affiliation:
Department of Mathematics, United States Naval Academy, Annapolis, MD 21402, USA
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Abstract

The isometric extensions of a multidimensional Bernouli shift are classified completely, up to C-isomorphism, and up to isomorphism. If such an extension is weakly mixing then it must be Bernoulli; otherwise, it has a rotation factor, which has a Bernoulli complementary algebra. This result is extended to multidimensional Bernoulli flows and Bernoulli shifts of infinite entropy.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 2 , June 1992 , pp. 267 - 282
Copyright
Copyright © Cambridge University Press 1992

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References

REFERENCES

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