Isomorphisms of algebras associated with directed graphs

dc.creatorKatsoulis, Elias
dc.creatorKribs, David
dc.date2003-09-22
dc.date2004-06-29
dc.date.accessioned2026-07-07T07:40:56Z
dc.date.available2026-07-07T07:40:56Z
dc.descriptionIn this paper we verify that the graph forms a complete invariant for Banach algebra isomorphisms of tensor algebras of graphs. For tensor algebras associated with countable directed graphs having no sinks the graph forms an invariant for algebraic isomorphisms as well. The graph also forms a complete invariant for w*-bicontinuous isomorphisms of free semigroupoid algebras. For free semigroupoid algebras associated with countable directed locally finite graphs with no sinks, the graph also forms an invariant for algebraic isomorphisms.
dc.description22 pages. Accepted for publication in the Mathematische Annalen. New introduction. (Old) Section 4 has been omitted
dc.identifierhttps://arxiv.org/abs/math/0309363
dc.identifierhttp://arxiv.org/abs/math/0309363
dc.identifierMath. Ann. 330, (2004), 709-728
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121932
dc.subjectOperator Algebras
dc.subject47L80
dc.titleIsomorphisms of algebras associated with directed graphs
dc.typetext

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