CCR flows associated to closed convex cones

2019/01/02 by Arjunan, Anbu, Sundar, S.
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1901.00265

Abstract

Let P be a closed convex cone in ℝ^d which we assume to be spanning and pointed i.e. P-P=ℝ^d and P ∩ -P=\0\. In this article, we consider CCR flows over P associated to isometric representations that arises out of P-invariant closed subsets, also called as P-modules, of ℝ^d. We show that for two P-modules the associated CCR flows are cocycle conjugate if and only if the modules are translates of each other.

Related

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• On Multiparameter CAR Flows
• E-semigroups over closed convex cones
• Decomposability of multiparameter CAR flows
• Arveson's characterisation of CCR flows: the multiparameter case