2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61756We construct a non-separable C*-algebra that is prime but not primitive.5 pages. The revised version of the paper gives a sharper version of the counterexample, in the sense that it is generated by a set of cardinality 2^{\aleph_0} rather than 2^{\aleph_1}. This allows for a less set-theoretically technical argument, although the proof of primality is slightly trickierOperator AlgebrasFunctional AnalysisRings and Algebras46L05, 16G99text