Every sum system is divisible

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We show that every sum system is divisible. Combined with B. V. R. Bhat and R. Srinivasan's result, this shows that every product system arising from a sum system (and every generalized CCR flow) is either of type I or type III. A necessarily and sufficient condition for such a product system to be of type I is obtained.
22 pages

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Operator Algebras, Functional Analysis, 46L55;47D03

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http://salesiana.dossiersoluciones.com/handle/123456789/135957

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.1591
 http://arxiv.org/abs/0708.1591

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arXiv