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Bernoullicity of lopsided principal algebraic actions

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Abstract

We show that the principal algebraic actions of countably infinite groups associated to lopsided elements in the integral group ring satisfying some orderability condition are Bernoulli.

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Acknowledgements

H. L. was partially supported by NSF grant DMS-1900746. We are grateful to the referee for helpful comments.

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Authors and Affiliations

  1. Department of Mathematics, State University of New York at Buffalo, Buffalo, NY, 14260-2900, USA

    Hanfeng Li

  2. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. China

    Kairan Liu

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  1. Hanfeng Li
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  2. Kairan Liu
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Correspondence to Kairan Liu.

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Li, H., Liu, K. Bernoullicity of lopsided principal algebraic actions. Isr. J. Math. (2023). https://doi.org/10.1007/s11856-023-2594-5

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  • DOI: https://doi.org/10.1007/s11856-023-2594-5

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