2020/08/11 by Anbu Arjunan, Arjunan, Anbu
Mathematics · #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2008.04752
Let P be a closed convex cone in ℝd which is assumed to be spanning ℝd 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.