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arxiv: math-ph/0306017 · v1 · pith:VJQJ6I34new · submitted 2003-06-05 · 🧮 math-ph · math.MP· math.OA

On k-decomposability of positive maps

classification 🧮 math-ph math.MPmath.OA
keywords mapstheorymodularpositivedecomposabledescriptiondetailedestablished
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We extend the theory of decomposable maps by giving a detailed description of k-positive maps. A relation between transposition and modular theory is established. The structure of positive maps in terms of modular theory (the generalized Tomita-Takesaki scheme) is examined.

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