Stochastic dilation of a quantum dynamical semigroup on a separable unital C algebra

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].

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Deposited On:15 Sep 2011 03:50
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