Isomorphisms of tensor algebras of topological graphs

2010/04/05 by Kenneth R. Davidson, Davidson, Kenneth R., Jean Roydor +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1004.0623

openalex publication_date 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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