C*-dynamical systems associated to Graph C*-Algebras

2011/06/29 by Eduard Ortega, Ortega, Eduard
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.1106.5881

We are improving the paper adding new references, corrections and results

openalex publication_date 2011/06/29 · arxiv created 2011/09/19 · arxiv updated 2011/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use a characterization of the graph C*-algebras C*(E) as the Stacey crossed product C*(E)^γ×_βE N, to study its ideal properties in terms of the (non-classical) C*-dynamical system (C*(E)^γ, β_E)

Citations

• Cuntz-Krieger uniqueness theorem for crossed products by Hilbert bimodules

Related

• The structure of crossed products by endomorphisms
• C*-algebras of generalized Boolean dynamical systems as partial crossed products
• C*-dynamical invariants and Toeplitz algebras of graphs
• The crossed-product structure of C*-algebras arising from topological dynamical systems
• Topological graphs and singly generated dynamical systems