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

TL;DR

This paper extends the classification of group actions into the normalizers of full groups of ergodic transformations using Evans-Kishimoto's intertwining argument, independent of the transformation types.

Contribution

It introduces a new classification approach for discrete amenable group actions into full group normalizers, not relying on ergodic transformation types.

Findings

Successful application of Evans-Kishimoto's intertwining argument

Classification results hold regardless of ergodic transformation types

Provides a unified framework for analyzing group actions

Abstract

We apply Evans-Kishimoto's 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.