Hilbert Modules and Stochastic Dilation of a Quantum Dynamical Semigroup on a von Neumann Algebra

@article{Goswami1999HilbertMA,
  title={Hilbert Modules and Stochastic Dilation of a Quantum Dynamical Semigroup on a von Neumann Algebra},
  author={Debashish Goswami and K. Sinha},
  journal={Communications in Mathematical Physics},
  year={1999},
  volume={205},
  pages={377-403}
}
  • Debashish Goswami, K. Sinha
  • Published 1999
  • Mathematics
  • Communications in Mathematical Physics
  • Abstract:A general theory for constructing a weak Markov dilation of a uniformly continuous quantum dynamical semigroup Tt on a von Neumann algebra ? with respect to the Fock filtration is developed with the aid of a coordinate-free quantum stochastic calculus. Starting with the structure of the generator of Tt, existence of canonical structure maps (in the sense of Evans and Hudson) is deduced and a quantum stochastic dilation of Tt is obtained through solving a canonical flow equation for… CONTINUE READING
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