# Isomorphisms of algebras associated with directed graphs

@article{Katsoulis2003IsomorphismsOA, title={Isomorphisms of algebras associated with directed graphs}, author={E. Katsoulis and D. Kribs}, journal={Mathematische Annalen}, year={2003}, volume={330}, pages={709-728} }

Abstract.Given countable directed graphs G and G′, we show that the associated tensor algebras (G) and (G′) are isomorphic as Banach algebras if and only if the graphs G are G′ are isomorphic. For tensor algebras associated with graphs having no sinks or no sources, the graph forms an invariant for algebraic isomorphisms. We also show that given countable directed graphs G, G′, the free semigroupoid algebras and are isomorphic as dual algebras if and only if the graphs G are G′ are isomorphic… Expand

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