Operator Algebras and Mauldin Williams Graphs

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We 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.