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Harmonic models and Bernoullicity
Published online by Cambridge University Press: 19 August 2021
Abstract
We give many examples of algebraic actions which are factors of Bernoulli shifts. These include certain harmonic models over left-orderable groups of large enough growth, as well as algebraic actions associated to certain lopsided elements in any left-orderable group. For many of our examples, the acting group is amenable so these actions are Bernoulli (and not just a factor of a Bernoulli), but there is no obvious Bernoulli partition.
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- Research Article
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- © 2021 The Author(s). The publishing rights in this article are licensed to Foundation Compositio Mathematica under an exclusive licence
Footnotes
The author gratefully acknowledges support from NSF Grants DMS-1827376 and DMS-2000105.
References
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