# An Index Theory For Quantum Dynamical Semigroups

@article{Bhat1996AnIT, title={An Index Theory For Quantum Dynamical Semigroups}, author={B. V. Rajarama Bhat}, journal={Transactions of the American Mathematical Society}, year={1996}, volume={348}, pages={561-583} }

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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