Isomorphisms of tensor algebras of topological graphs

Details Isomorphisms of tensor algebras of topological graphs Isomorphisms of tensor algebras of topological graphs

2010-04-05

arxiv.org/abs/1004.0623v1

Mathematics

Operator Algebras

Submitted to Indiana University Mathematics Journal.

Scientific paper

We show that if two tensor algebras of topological graphs are algebraically
isomorphic, then the graphs are locally conjugate. Conversely, if the base
space is at most one dimensional and the edge space is compact, then locally
conjugate topological graphs yield completely isometrically isomorphic tensor
algebras.

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