Noncommutative properties of 0-hyperbolic graphs

We study several noncommutative properties of 0-hyperbolic graphs. In particular, we prove that 0-hyperbolicity is preserved under quantum isomorphism. We also compute the quantum automorphism groups of 0-hyperbolic graphs and characterise the ones with quantum symmetry.

Publication Details

Journal
ArXiv.org
Published
2025-04-18
Primary Topic
Advanced Operator Algebra Research
Type
article
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article

Noncommutative properties of 0-hyperbolic graphs

ArXiv.org
Advanced Operator Algebra Research
article

Noncommutative properties of 0-hyperbolic graphs

article en

Abstract

We study several noncommutative properties of 0-hyperbolic graphs. In particular, we prove that 0-hyperbolicity is preserved under quantum isomorphism. We also compute the quantum automorphism groups of 0-hyperbolic graphs and characterise the ones with quantum symmetry.

ArXiv.org
Openalex Percentile: Top 43%
Advanced Operator Algebra Research
Open Access PDFOpenAlex
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Noncommutative properties of 0-hyperbolic graphs · ArXiv.org (2025) | TGRS Research Map | TGRS