Mauldin-Williams graphs, Morita equivalence and isomorphisms

Ionescu, Marius

doi:10.1090/S0002-9939-05-08055-X

Mauldin-Williams graphs, Morita equivalence and isomorphisms
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Proc. Amer. Math. Soc. 134 (2006), 1087-1097 Request permission

Abstract:

We describe a method for associating some non-self-adjoint algebras to Mauldin-Williams graphs and we study the Morita equivalence and isomorphism of these algebras. We also investigate the relationship between the Morita equivalence and isomorphism class of the $C^{\ast }$-correspondences associated with Mauldin-Williams graphs and the dynamical properties of the Mauldin-Williams graphs.

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