Multiparameter Decomposable Product Systems
Operator Algebras
2022-12-20 v1 Functional Analysis
Abstract
In [8], Arveson proved that a -parameter decomposable product system is isomorphic to the product system of a CCR flow. We show that the structure of a generic decomposable product system, over higher dimensional cones, modulo twists by multipliers, is given by an isometric representation of the cone and a certain -cocycle for . Moreover, we compute the space of -cocycles for shift semigroups associated to transitive actions of a higher dimensional cone.
Cite
@article{arxiv.2212.09414,
title = {Multiparameter Decomposable Product Systems},
author = {C. H. Namitha and S. Sundar},
journal= {arXiv preprint arXiv:2212.09414},
year = {2022}
}