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Invariants for Normal Completely Positive Maps on the Hyperfinite $II_1$ Factor

Debashish Goswami·Lingaraj Sahu
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Abstract

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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Debashish Goswami, Lingaraj Sahu. 2006-03-09. Invariants for Normal Completely Positive Maps on the Hyperfinite $II_1$ Factor. https://arxiv.org/abs/math/0601358

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