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arxiv: math/0601358 · v2 · submitted 2006-01-14 · 🧮 math.OA

Invariants for Normal Completely Positive Maps on the Hyperfinite II₁ Factor

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keywords mapscompletelyfactorhyperfiniteinvariantsnormalpositivealgebra
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We investigate certain classes of normal completely positive (CP) maps on the hyperfinite $II_1$ factor $\mathcal A$. Using the representation theory of a suitable irrational rotation algebra, we propose some computable invariants for such CP maps.

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