Classification of E_0-Semigroups by Product Systems

Häftad, Engelska, 2016

1 249 kr

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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.

Produktinformation

Utgivningsdatum2016-03-01
Mått178 x 254 x undefined mm
Vikt207 g
FormatHäftad
SpråkEngelska
SerieMemoirs of the American Mathematical Society
FörlagAmerican Mathematical Society
ISBN9781470417383

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IntroductionMorita equivalence and representationsStable Morita equivalence for Hilbert modulesTernary isomorphismsCocycle conjugacy of $E_0$-semigroups $E_0$-semigroups, product systems, and unitary cocyclesConjugate $E_0$-semigroups and Morita equivalent product systemsStable unitary cocycle (inner) conjugacy of $E_0$-semigroupsAbout continuityHudson-Parthasarathy dilations of spatial Markov semigroupsVon Neumann case: Algebraic classificationVon Neumann case: Topological classificationVon Neumann case: Spatial Markov semigroupsAppendix A: Strong type I product systemsAppendix B: $E_0$-semigroups and representations for strongly continuous product systemsReferences