Rajarama Bhat, B. V. ; Liebscher, Volkmar ; Skeide, Michael (2010) Subsystems of fock need not be fock: spatial CP-semigroups Proceedings of the American Mathematical Society, 138 . pp. 2443-2456. ISSN 0002-9939
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Official URL: http://www.ams.org/journals/proc/2010-138-07/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9939-10-10260-3
Abstract
We show that a product subsystem of a time ordered system (that is, a product system of time ordered Fock modules), even one of type I, need not be isomorphic to a time ordered product system. In this 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 CP-semigroups that have a Christensen-Evans generator.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Mathematical Society. |
| ID Code: | 2544 |
| Deposited On: | 08 Oct 2010 06:59 |
| Last Modified: | 17 May 2011 05:08 |
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