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On the Jewett-Krieger theorem for amenable groups

Benjamin Weiss

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].

On the Jewett-Krieger theorem for amenable groups

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].
Paper Structure (5 theorems, 2 equations)

This paper contains 5 theorems, 2 equations.

Key Result

Theorem 1

Let $X$ be a 0-dimensional compact space with a free topological action of an amenable group $G$ by homeomorphisms and let $K$ be any face of the simplex $M_G(X)$ of G-invariant measures of X. Then there exists another free action of $G$ on a 0-dimensional compact space, $Y$ and an affine homeomorph

Theorems & Definitions (7)

  • Theorem 1
  • Corollary 1
  • Proposition 1
  • Theorem 2
  • Lemma 1
  • proof
  • proof