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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Dyadic equivalence to completely positive entropy
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by Adam Fieldsteel and J. Roberto Hasfura-Buenaga PDF
Trans. Amer. Math. Soc. 350 (1998), 1143-1166 Request permission

Abstract:

We show that every free ergodic action of $\bigoplus _1^\infty {\mathbb Z}_2$ of positive entropy is dyadically equivalent to an action with completely positive entropy.
References
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Additional Information
  • Adam Fieldsteel
  • Affiliation: Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459
  • Email: afieldsteel@mail.wesleyan.edu
  • J. Roberto Hasfura-Buenaga
  • Affiliation: Department of Mathematics, Trinity University, San Antonio, Texas 78212
  • Email: jhasfura@mail.trinity.edu
  • Received by editor(s): March 6, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 1143-1166
  • MSC (1991): Primary 28D15, 28D20; Secondary 58F11
  • DOI: https://doi.org/10.1090/S0002-9947-98-02115-1
  • MathSciNet review: 1458323