论文标题
多用途汽车流的可分解性
Decomposability of multiparameter CAR flows
论文作者
论文摘要
令$ p $为$ \ mathbb {r}^d $中的封闭凸锥，假定跨越了$ \ mathbb {r}^d $，并且不包含任何行。在本文中，我们考虑了一个汽车家族流量超过$ P $，并研究了相关产品系统的可分解性。我们建立了可分解汽车流量的必要条件。结果，我们表明，有许多不可容纳的汽车流是与相应的CCR流相结合的。
Let $P$ be a closed convex cone in $\mathbb{R}^d$ which is assumed to be spanning $\mathbb{R}^d$ and contains no line. In this article, we consider a family of CAR flows over $P$ and study the decomposability of the associated product systems. We establish a necessary and sufficient condition for CAR flow to be decomposable. As a consequence we show that there are uncountable many CAR flows which are cocycle conjugate to the corresponding CCR flows.
