Stochastic dilation of a quantum dynamical semigroup on a separable unitalC* algebra

Authors
Goswami, D Pal, AK Sinha, KB
Citation
D. Goswami et al., Stochastic dilation of a quantum dynamical semigroup on a separable unitalC* algebra, INFIN DIMEN, 3(1), 2000, pp. 177-184
Citations number
9
Categorie Soggetti
Mathematics
Journal title
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
ISSN journal
02190257 → ACNP
Volume
3
Issue
1
Year of publication
2000
Pages
177 - 184
Database
ISI
SICI code
0219-0257(200003)3:1<177:SDOAQD>2.0.ZU;2-F
Abstract
Given a uniformly continuous quantum dynamical semigroup on a separable uni tal C* algebra, we construct a canonical Evans-Hudson (E-H) dilation. Such a result was already proved by Goswami and Sinha(6) in the von Neumann alge bra setup, which has been extended to the C* algebraic framework in this pa per. The authors make use of the coordinate-free calculus and results of Re f. 6, but the proof of the existence of structure maps differs from that of Ref. 6.