Goswami, Debashish ; Pal, Arup Kumar ; Sinha, Kalyan B. (2000) Stochastic dilation of a quantum dynamical semigroup on a separable unital C∗ algebra Infinite Dimensional Analysis, Quantum Probability and Related Topics, 3 (1). pp. 177-184. ISSN 0219-0257
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Official URL: http://www.worldscinet.com/idaqp/03/0301/S02190257...
Related URL: http://dx.doi.org/10.1142/S0219025700000108
Abstract
Given a uniformly continuous quantum dynamical semigroup on a separable unital C∗ algebra, we construct a canonical Evans-Hudson (E-H) dilation. Such a result was already proved by Goswami and Sinha ([GS]) in the von-Neumann algebra set-up, which has been extended to the C∗ algebraic framework in the present article. The authors make use of the coordinate-free calculus and results of [GS], but the proof of the existence of structute maps differs form that of [GS].
Item Type: | Article |
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Source: | Copyright of this article belongs to World Scientific Publishing Company. |
ID Code: | 61292 |
Deposited On: | 15 Sep 2011 03:50 |
Last Modified: | 18 May 2016 11:03 |
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