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Abstract: We show that the Markov semigroup obtained by Floricel in Flo08 compressingthe $E 0$-semigroup of Skeide Ske06, does not consist of endomorphisms. It,therefore, cannot be the tail flow of an $E 0$-semigroup. As a corollary of ourresult, Floricel-s construction will allow to get examples of proper type IIIMarkov semigroups that are not tensor products of simpler ones, provided wefind type III Arveson systems that do not factor into tensor products.



Autor: Michael Skeide

Fuente: https://arxiv.org/







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