IUMJ

Title: Isomorphisms of tensor algebras of topological graphs

Authors: Kenneth Davidson and Jean Roydor

Issue: Volume 60 (2011), Issue 4, 1249-1266

Abstract:

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.