Equivariant Tannaka-Krein reconstruction and quantum automorphism groups of discrete structures

DOI10.1016/j.jalgebra.2024.11.003MaRDI QIDQ6667415

Lukas Rollier

Publication date: 20 January 2025

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

noncommutative geometryquantum groupsrepresentation theory

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantizations, deformations for selfadjoint operator algebras (46L65) Fusion categories, modular tensor categories, modular functors (18M20)

Cites Work

• Unnamed Item
• \(C^*\)-algebraic partial compact quantum groups
• Groups with compact open subgroups and multiplier Hopf \(^*\)-algebras
• Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
• On the spatial theory of von Neumann algebras
• An algebraic framework for group duality
• A theory of dimension
• Partial compact quantum groups
• Faithful actions of locally compact quantum groups on classical spaces
• Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
• Multiplier Hopf Algebras
• C*-Algebraic Quantum Groups Arising from Algebraic Quantum Groups
• Locally compact quantum groups in the von Neumann algebraic setting
• A compositional approach to quantum functions
• Locally compact quantum groups.
• A von Neumann Algebra Approach to Quantum Metrics/Quantum Relations
• The unitary implementation of a locally compact quantum group action
• Quantum graphs: different perspectives, homomorphisms and quantum automorphisms
• Quantum automorphism groups of connected locally finite graphs and quantizations of discrete groups

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