Quantum spheres as graph C*-algebras: a review

DOI10.1016/J.EXMATH.2024.125632MaRDI QIDQ6656079

Francesco D'Andrea

Publication date: 2 January 2025

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

quantum groupsLeavitt path algebrasgraph C*-algebrasVaksman-Soibelman quantum spheres

Mathematics Subject Classification ID

Geometry of quantum groups (58B32) Quantum groups (quantized function algebras) and their representations (20G42) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Cites Work

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• Pimsner algebras and Gysin sequences from principal circle actions
• Quantum weighted projective and Lens spaces
• Compact quantum groups and groupoid \(C^*\)-algebras
• Quantum spheres
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• The \(C^*\)-algebras of row-finite graphs
• Quantum spheres and projective spaces as graph algebras
• Leavitt path algebras
• Pimsner Algebras and Circle Bundles
• Shape theory for $C^*$-algebras.
• Geometry of Quantum Projective Spaces
• The Haar state on the Vaksman-Soibelman quantum spheres

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