%0 Journal Article
%T Subsystems of Fock Need Not Be Fock: Spatial CP-Semigroups
%A B. V. Rajarama Bhat
%A Volkmar Liebscher
%A Michael Skeide
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0804.2169v2