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Classification of $E_{0}$-semigroups by product systems

In these notes the author presents a complete theory of classification of E_0-semigroups by product systems of correspondences. As an application of his theory, he answers the fundamental question if a Markov semigroup admits a dilation by a cocycle perturbations of noise: It does if and only if it...

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Detalles Bibliográficos
Autor principal: Skeide, Michael
Lenguaje:eng
Publicado: American Mathematical Society 2016
Materias:
Acceso en línea:http://cds.cern.ch/record/2622897
Descripción
Sumario:In these notes the author presents a complete theory of classification of E_0-semigroups by product systems of correspondences. As an application of his theory, he answers the fundamental question if a Markov semigroup admits a dilation by a cocycle perturbations of noise: It does if and only if it is spatial.