Subsystems of Fock Need Not Be Fock: Spatial CP-Semigroups
Operator Algebras
2013-11-20 v2
Abstract
We show that a product subsystem of a time ordered system (that is, a product system of time ordered Fock modules), though type I, need not be isomorphic to a time ordered product system. In that way, we answer an open problem in the classification of CP-semigroups by product systems. We define spatial strongly continuous CP-semigroups on a unital C*-algebra and characterize them as those that have a Christensen-Evans generator.
Cite
@article{arxiv.0804.2169,
title = {Subsystems of Fock Need Not Be Fock: Spatial CP-Semigroups},
author = {B. V. Rajarama Bhat and Volkmar Liebscher and Michael Skeide},
journal= {arXiv preprint arXiv:0804.2169},
year = {2013}
}
Comments
Revised and enlarged version, to appear in Proc. Amer. Math. Soc