An Index Theory For Quantum Dynamical Semigroups

  title={An Index Theory For Quantum Dynamical Semigroups},
  author={B. V. Rajarama Bhat},
  journal={Transactions of the American Mathematical Society},
  • B. Bhat
  • Published 1996
  • Mathematics
  • Transactions of the American Mathematical Society
W. Arveson showed a way of associating continuous tensor product systems of Hilbert spaces with endomorphism semigroups of type I factors. We do the same for general quantum dynamical semigroups through a dilation procedure. The product system so obtained is the index and its dimension is a numerical invariant for the original semigroup. 

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