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Weakly isomorphic transformations that are not isomorphic

✍ Scribed by M. Lemańczyk

Publisher
Springer
Year
1988
Tongue
English
Weight
768 KB
Volume
78
Category
Article
ISSN
1432-2064

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✦ Synopsis

A new method for construction of transformations T~:(X,., .~;, /~i)), i= 1,2, that are factors of each other but that are not measuretheoretically isomorphic is provided. This method uses ergodic product cocycles of the form (0 o Si'x (0oSi2 x ..., where (o:X~Z2 is a cocycle, S belongs to the centralizer of T and T is an ergodic translation on a compact, monothetic group X.

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