An Index Theory For Quantum Dynamical Semigroups

Bhat, B.

doi:10.1090/S0002-9947-96-01520-6

An Index Theory For Quantum Dynamical Semigroups
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by B. V. Rajarama Bhat PDF

Trans. Amer. Math. Soc. 348 (1996), 561-583 Request permission

Abstract:

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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