2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107554We 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.13 pages, To be published in Proc. Ind. Acad. Sci. (Math. Sci.)Operator Algebras46L55text