Decomposability of multiparameter CAR flows

Autor: Anbu Arjunan
Jazyk: angličtina
Rok vydání: 2020
Předmět:
ISSN: 0013-0915
Popis: 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.
Databáze: OpenAIRE