On the Jewett-Krieger theorem for amenable groups

TL;DR

This paper proves that the Jewett-Krieger theorem applies to all countable amenable groups, filling a notable gap in the literature using recent results by Frej and Huczek.

Contribution

It provides the first complete proof that the Jewett-Krieger theorem holds for all countable amenable groups, extending its applicability.

Findings

Jewett-Krieger theorem is valid for all countable amenable groups

The proof utilizes recent results by Frej and Huczek

Fills a gap in the existing mathematical literature

Abstract

Up to now there has been no proof in the literature of the often quoted fact that the Jewett-Krieger theorem is valid for all countable amenable groups. In this brief note I will close this gap by applying a recent result of B. Frej and D. Huczek [FH].