Isometric actions of compact quantum groups on graph C*-algebras

2024/09/28 by Soumalya Joardar, Joardar, Soumalya, J.S. Sharma +1
Mathematics · Physics and Astronomy · #46L89 #81R50 #81R60 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2409.19376

openalex publication_date 2024/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a strongly connected directed graph Λ, it is shown that the quantum automorphism group of Λ acts isometrically in the sense of D. Goswami et al. on the spectral triple (C^∗(Λ), L²(Λ^∞,M),D) constructed by Farsi et al.. It is also shown that the natural action of U_n⁺ is not isometric on the Cuntz algebra O_n.

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