Isomorphisms of algebras associated with directed graphs
Abstract
Description
In 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.
22 pages. Accepted for publication in the Mathematische Annalen. New introduction. (Old) Section 4 has been omitted
22 pages. Accepted for publication in the Mathematische Annalen. New introduction. (Old) Section 4 has been omitted