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A zero entropy $T$ such that the $[T,\!{\operatorname{Id}}]$ endomorphism is nonstandard


Author: Christopher Hoffman
Journal: Proc. Amer. Math. Soc. 128 (2000), 183-188
MSC (1991): Primary 28D99; Secondary 60A10
Published electronically: July 1, 1999
MathSciNet review: 1625757
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Abstract | References | Similar Articles | Additional Information

Abstract: We present an example of an ergodic transformation $T$, a variant of a zero entropy non-loosely Bernoulli map of Feldman, such that the sequence of random variables generated by the [$T$,Id] endomorphism is nonstandard.


References [Enhancements On Off] (What's this?)

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Additional Information

Christopher Hoffman
Affiliation: The Hebrew University, Institute of Mathematics, Jerusalem, Israel
Address at time of publication: Department of Mathematics, University of Maryland, College Park, Maryland 20742
Email: hoffman@math.umd.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05057-1
Keywords: Decreasing sequences of $\sigma$-algebras, standard
Received by editor(s): June 17, 1997
Received by editor(s) in revised form: March 13, 1998
Published electronically: July 1, 1999
Communicated by: Mary Rees
Article copyright: © Copyright 1999 by Christopher Hoffman