Decomposability of multiparameter car flows

Authors

Anbu Arjunan, Indian Statistical Institute (Delhi Centre)

Article Type

Research Article

Publication Title

Proceedings of the Edinburgh Mathematical Society

Abstract

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.

First Page

1

Last Page

22

DOI

https://10.1017/S0013091522000554

Publication Date

2-1-2023

Comments

Open Access, Green

Recommended Citation

Arjunan, Anbu, "Decomposability of multiparameter car flows" (2023). Journal Articles. 3851.
https://digitalcommons.isical.ac.in/journal-articles/3851