Mauldin-Williams graphs, Morita equivalence and isomorphisms

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 w...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2006-04, Vol.134 (4), p.1087-1097
Main Author: IONESCU, Marius
Format: Article
Language:English
Subjects:
Algebra
Equivalence relation
Exact sciences and technology
Fractals
Functional analysis
Global analysis, analysis on manifolds
Homeomorphism
Iterations of functions
Mathematical analysis
Mathematical theorems
Mathematics
Real functions
Sciences and techniques of general use
Subalgebras
Tensors
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Vertices
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Summary: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-05-08055-X