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

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

2006-01-14

arxiv.org/abs/math/0601358v2

Mathematics

Operator Algebras

13 pages, To be published in Proc. Ind. Acad. Sci. (Math. Sci.)

Scientific paper

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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