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

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.

References in corpus (1)

• Classification of a family of non almost periodic free Araki-Woods factors