2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70001We describe a method for associating a $C^{*}$-correspondence to a Mauldin-Williams graph and show that the Cuntz-Pimsner algebra of this $C^{*}$-correspondence is isomorphic to the $C^{*}$-algebra of the underlying graph. In addition, we analyze certain ideals of these $C^{*}$-algebras. We also investigate Mauldin-Williams graphs and fractal $C^{*}$-algebras in the context of the Rieffel metric. This generalizes the work of Pinzari, Watatani and Yonetani. Our main result here is a {}``no go'' theorem showing that such algebras must come from the commutative setting.14 pages, Latex; Rewrote parts of the introduction and the proof of the first main theoremOperator Algebras26A18, 37A55, 37B10, 37E25, 46L08, 46L55, 46L89text