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Classification of E₀-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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2016.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1137. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- Morita equivalence and representations
- Stable Morita equivalence for Hilbert modules
- Ternary isomorphisms
- Cocycle conjugacy of E₀-semigroups
- E₀-Semigroups, product systems, and unitary cocycles
- Conjugate E₀-Semigroups and Morita equivalent product systems
- Stable unitary cocycle (inner) conjugacy of E₀-semigroups
- About continuity
- Hudson-Parthasarathy dilations of spatial Markov semigroups
- Von Neumann case: Algebraic classification
- Von Neumann case: Topological classification
- Von Neumann case: Spatial Markov semigroups
- Appendix A: Strong type I product systems
- Appendix B: E₀-Semigroups and representations for strongly continuous product systems.