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An Index Theory For Quantum Dynamical Semigroups |
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| Authors: | B. V. Rajarama Bhat |
| Affiliation: | The Fields Institute, 222 College Street, Toronto, Ontario, Canada |
| Abstract: | W. Arveson showed a way of associating continuous tensor product systems of Hilbert spaces with endomorphism semigroups of type I factors. We do the same for general quantum dynamical semigroups through a dilation procedure. The product system so obtained is the index and its dimension is a numerical invariant for the original semigroup. |
| Keywords: | Completely positive maps semigroups Markov dilations continuous tensor products |
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