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Weakly isomorphic transformations that are not isomorphic
Authors:M Lemańczyk
Institution:(1) Institute of Mathematics, Nicholas Copernicus University, Ul. Chopina 12/18, PL-81100 Torunacute, Poland
Abstract:Summary A new method for construction of transformations T i: (X i, B i, mgr i) curarr, 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 phivcompfnS i 1xphivcompfnS i 2x...,, where phiv: XrarrZ 2 is a cocycle, S belongs to the centralizer of T and T is an ergodic translation on a compact, monothetic group X.
Keywords:
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