论文标题
$ \ mathbb {r} $的免费bogoljubov动作的共轭词
Cocycle Conjugacy of Free Bogoljubov Actions of $\mathbb{R}$
论文作者
论文摘要
我们表明,免费组因子$ l(\ Mathbb {f} _ {\ infty})$与无限多重性琐事和某些混合表示形式相关的bogoljubov动作$ \ mathbb {r} $ $ \ mathbb {r} $与cococycle cocycle conexugate相关,并且仅是下层的代表。
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.