论文标题
多参数分解产品系统
Multiparameter Decomposable Product Systems
论文作者
论文摘要
在[8]中，阿尔维森证明了$ 1 $ - 参数可分解的产品系统对CCR流的产品系统是同构的。我们表明，在较高的尺寸锥体上，乘数曲线的模型曲折的结构是由圆锥的等距表示$ v $和$ v $的一定$ 2 $ cocycle给出的。此外，我们计算了$ 2 $ cocycles的空间，用于与较高维锥体相关的换档半群。
In [8], Arveson proved that a $1$-parameter decomposable product system is isomorphic to the product system of a CCR flow. We show that the structure of a generic decomposable product system, over higher dimensional cones, modulo twists by multipliers, is given by an isometric representation $V$ of the cone and a certain $2$-cocycle for $V$. Moreover, we compute the space of $2$-cocycles for shift semigroups associated to transitive actions of a higher dimensional cone.
