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arxiv: math/0310452 · v1 · submitted 2003-10-29 · 🧮 math.OA · math-ph· math.MP

Dilation of a class of quantum dynamical semigroups with unbounded generator on UHF algebras

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keywords flowssemigroupsalgebrasclassdynamicalgeneratorquantumunbounded
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Evans-Hudson flows are constructed for a class of quantum dynamical semigroups with unbounded generator on UHF algebras, which appeared in \cite{Ma}. It is shown that these flows are unital and covariant. Ergodicity of the flows for the semigroups associated with partial states is also discussed.

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