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arXiv · 2006.00351

Cocycle Conjugacy of Free Bogoljubov Actions of $\mathbb{R}$

Joshua Keneda·Dimitri Shlyakhtenko
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Abstract

We show that Bogoljubov actions of $\mathbb{R}$ on the free group factor $L(\mathbb{F}_{\infty})$ associated to sums of infinite multiplicity trivial and certain mixing representations are cocycle conjugate if and only if the underlying representations are conjugate.

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Joshua Keneda, Dimitri Shlyakhtenko. 2020-05-30. Cocycle Conjugacy of Free Bogoljubov Actions of $\mathbb{R}$. https://arxiv.org/abs/2006.00351

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