Weakly isomorphic transformations that are not isomorphic |
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Authors: | M Lemańczyk |
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Institution: | (1) Institute of Mathematics, Nicholas Copernicus University, Ul. Chopina 12/18, PL-81100 Toru, Poland |
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Abstract: | Summary A new method for construction of transformations T
i: (X
i, B
i,
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 S
i
1xS
i
2x...,, where : XZ
2 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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Keywords: | |
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