Chakraborty, Partha Sarathi ; Goswami, Debashish ; Sinha, Kalyan B. (2001) A Covariant Quantum Stochastic Dilation Theory Stochastics in Finite and Infinite Dimensions . pp. 89-99.
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Official URL: http://doi.org/10.1007/978-1-4612-0167-0_5
Related URL: http://dx.doi.org/10.1007/978-1-4612-0167-0_5
Abstract
A covariant version of the dilation theory for quantum dynamical semigrops is established, including both Bhat-Parthasarathy type and Evans-Hudson type dilation. It is shown in particular that every uniformly continuous quantum dynamical semigroup on a separable C*-algebra or a von Neumann algebra, which is covariant under a suitable group-action, admits a covariant Evans-Hudson dilation in some appropriate Fock space.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature Switzerland AG. |
| Keywords: | Strong Operator Topology; Hilbert Module; Quantum Dynamical Semigroup; Continuous Unitary Representation; Dilation Theory. |
| ID Code: | 116911 |
| Deposited On: | 08 Apr 2021 07:15 |
| Last Modified: | 08 Apr 2021 07:15 |
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