2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152448A numerical index is introduced for semigroups of completely positive maps of $\Cal B(H)$ which generalizes the index of E_0-semigroups. It is shown that the index of a unital completely positive semigroup agrees with the index of its dilation to an E_0-semigroup, provided that the dilation is minimal.26 pp. AMS-TeX 2.0Functional AnalysisOperator Algebrastext