Bernoulli actions of amenable groups with weakly mixing Maharam extensions

2018/08/17 by Björklund, Michael, Kosloff, Zemer
#Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Probability (math.PR)

paper · doi:10.48550/arxiv.1808.05991

Abstract

We provide a simple criterion for a non-singular and conservative Bernouilli action to have a weakly mixing Maharam extension. As an application, we show that every countable amenable group admits a stable type III₁ Bernoulli action, answering a recent question by Vaes and Wahl.

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• Harmonic Models and Bernoullicity
• Pointwise ergodic theorems beyond amenable groups