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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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| Lenguaje: | eng |
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American Mathematical Society
2016
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| Acceso en línea: | http://cds.cern.ch/record/2622897 |
| _version_ | 1780958622538268672 |
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| author | Skeide, Michael |
| author_facet | Skeide, Michael |
| author_sort | Skeide, Michael |
| collection | CERN |
| description | 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. |
| id | cern-2622897 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2016 |
| publisher | American Mathematical Society |
| record_format | invenio |
| spelling | cern-26228972021-04-21T18:48:13Zhttp://cds.cern.ch/record/2622897engSkeide, MichaelClassification of $E_{0}$-semigroups by product systemsMathematical Physics and MathematicsIn 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.American Mathematical Societyoai:cds.cern.ch:26228972016 |
| spellingShingle | Mathematical Physics and Mathematics Skeide, Michael Classification of $E_{0}$-semigroups by product systems |
| title | Classification of $E_{0}$-semigroups by product systems |
| title_full | Classification of $E_{0}$-semigroups by product systems |
| title_fullStr | Classification of $E_{0}$-semigroups by product systems |
| title_full_unstemmed | Classification of $E_{0}$-semigroups by product systems |
| title_short | Classification of $E_{0}$-semigroups by product systems |
| title_sort | classification of $e_{0}$-semigroups by product systems |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/2622897 |
| work_keys_str_mv | AT skeidemichael classificationofe0semigroupsbyproductsystems |