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arXiv · 2008.04752

Decomposability of multiparameter CAR flows

Anbu Arjunan
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Abstract

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.

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Anbu Arjunan. 2020-08-11. Decomposability of multiparameter CAR flows. https://arxiv.org/abs/2008.04752

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