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Actions of discrete amenable groups into the normalizers of full groups of ergodic transformations

Part of: Measure-theoretic ergodic theory Selfadjoint operator algebras

Published online by Cambridge University Press:  05 February 2024

TOSHIHIKO MASUDA Open the ORCID record for TOSHIHIKO MASUDA [Opens in a new window]
TOSHIHIKO MASUDA*
Affiliation:
Faculty of Mathematics, Kyushu University, 744, Motooka, Nishi-ku, Fukuoka 819-0395, Japan
*
e-mail: masuda@math.kyushu-u.ac.jp
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Abstract

We apply the Evans–Kishimoto intertwining argument to the classification of actions of discrete amenable groups into the normalizer of a full group of an ergodic transformation. Our proof does not depend on the types of ergodic transformations.

Keywords

ergodic transformationsoperator algebrasfull groupsdiscrete amenable groupactions

MSC classification

Primary: 46L55: Noncommutative dynamical systems
Secondary: 28D99: None of the above, but in this section
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , First View , pp. 1 - 26
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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Footnotes

Dedicated to Professor Yasuyuki Kawahigashi on the occasion of his 60th birthday

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