. O A ] 2 3 Se p 20 09 Subsystems of Fock Need Not Be Fock : Spatial CP - Semigroups ∗

نویسنده

  • Michael Skeide
چکیده

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.

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تاریخ انتشار 2008