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Minimal Dilations of Quantum Dynamical Semigroups to Semigroups of Endomorphisms of C*-algebras
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We obtain a dilation of general one-parameter semigroups of contractive completely positive maps to semigroups of *-endomorphisms on a larger C*-algebra. The original algebra becomes a corner of this algebra. If we start with a direct sum of type-I factors this leads us to what may be called as a continuous Brattelli diagram. Here we also extend the notion of index of quantum dynamical semigroups to non-conservative case.
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