论文标题
关于Q形成的Araki-Woods von Neumann代数的种子
On the factoriality of q-deformed Araki-Woods von Neumann algebras
论文作者
论文摘要
$ q $ - 成型的Araki-Woods von Neumann代数$γ_Q（\ Mathcal {h} _ \ Mathbb {r}，u_t）^{\ prime \ prime \ prime \ prime \ prime} $是所有$ q \ in（-1,1,1）$ n e（-1,1）$ wher $ dim（-1,1） 3 $。当$ dim（\ mathcal {h} _ \ mathbb {r}）= 2 $时，对于所有$ q $，只要定义$（u_t）$的参数为“小”或$ 1 $ $（$ $ $（$ TRIVIAL $）$），则它们也是所有因素。
The $q$-deformed Araki-Woods von Neumann algebras $Γ_q(\mathcal{H}_\mathbb{R}, U_t)^{\prime \prime}$ are factors for all $q\in (-1,1)$ whenever $dim(\mathcal{H}_\mathbb{R})\geq 3$. When $dim(\mathcal{H}_\mathbb{R})=2$ they are factors as well for all $q$ so long as the parameter defining $(U_t)$ is `small' or $1$ $($trivial$)$ as the case may be.
