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arXiv · 2607.26267

On essential freeness of actions of mixed identity-free groups

Soham Chakraborty
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Abstract

It was asked in [ACTT23] if every faithful, discrete, ergodic pmp action of a mixed identity-free (MIF) group is essentially free. In this short note we give some positive evidence by showing that for a MIF group, any faithful generalized Bernoulli action and any affine action on a compact abelian group is essentially free. This gives some classes of discrete ergodic actions with this property beyond the totally ergodic or compact case.

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Soham Chakraborty. 2026-07-28. On essential freeness of actions of mixed identity-free groups. https://arxiv.org/abs/2607.26267

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