2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61152In this note we analyze the C*-algebra associated with a branched covering both as a groupoid C*-algebra and as a Cuntz-Pimsner algebra. We determine conditions when the algebra is simple and purely infinite. We indicate how to compute the K-theory of several examples, including one related to rational maps on the Riemann sphere.Operator Algebras46L55; 43A07, 43A15, 43A22text