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Minimal Dilations of Quantum Dynamical Semigroups to Semigroups of Endomorphisms of C*-algebras


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1 Indian Statistical Institute, R. V. College Post, Bangalore-560059, India
     

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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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  • Minimal Dilations of Quantum Dynamical Semigroups to Semigroups of Endomorphisms of C*-algebras

Abstract Views: 283  |  PDF Views: 0

Authors

B. V. Rajarama Bhat
Indian Statistical Institute, R. V. College Post, Bangalore-560059, India

Abstract


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.