Rajarama Bhat, B. V. (1996) An index theory for quantum dynamical semigroups Transactions of the American Mathematical Society, 348 (2). pp. 1-23. ISSN 0002-9947
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Official URL: http://www.ams.org/journals/tran/1996-348-02/S0002...
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.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to American Mathematical Society. |
| ID Code: | 2533 |
| Deposited On: | 08 Oct 2010 07:00 |
| Last Modified: | 16 May 2016 13:31 |
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