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Weakly isomorphic transformations that are not isomorphic
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  • Published: August 1988

Weakly isomorphic transformations that are not isomorphic

  • M. Lemańczyk1 

Probability Theory and Related Fields volume 78, pages 491–507 (1988)Cite this article

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Summary

A new method for construction of transformations T i: (X i, B i, μ 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 ϕ∘S i 1xϕ∘S i 2x...,, where ϕ: X→Z 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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Authors and Affiliations

  1. Institute of Mathematics, Nicholas Copernicus University, Ul. Chopina 12/18, PL-81100, Toruń, Poland

    M. Lemańczyk

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  1. M. Lemańczyk
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Lemańczyk, M. Weakly isomorphic transformations that are not isomorphic. Probab. Th. Rel. Fields 78, 491–507 (1988). https://doi.org/10.1007/BF00353873

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  • Received: 27 May 1987

  • Issue Date: August 1988

  • DOI: https://doi.org/10.1007/BF00353873

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Keywords

  • Stochastic Process
  • Probability Theory
  • Statistical Theory
  • Isomorphic Transformation
  • Monothetic Group
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