Article ID Journal Published Year Pages File Type
4617775 Journal of Mathematical Analysis and Applications 2012 5 Pages PDF
Abstract

We show that the Markov semigroup obtained by Floricel (2008) in [9], compressing the E0-semigroup of Skeide (2006) [13], does not consist of endomorphisms. It, therefore, cannot be the tail flow of an E0-semigroup. As a corollary of our result, Floricelʼs construction will allow to get examples of proper type III Markov semigroups that are not tensor products of simpler ones, provided we find type III Arveson systems that do not factor into tensor products.

Related Topics
Physical Sciences and Engineering Mathematics Analysis