Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules
نویسندگان
چکیده
We apply Hilbert module methods to show that normal completely positive maps admit weak tensor dilations. Appealing to a duality between weak tensor dilations and extensions of CP-maps, we get an existence proof for certain extensions. We point out that this duality is part of a far reaching duality between a von Neumann bimodule and its commutant in which also other dualities, known and new, find their natural common place.
منابع مشابه
Linear maps on von-Neumann algebras behaving like anti-derivations at orthogonal elements
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