C∗‐index of observable algebra in the field algebra determined by a normal group

DOI10.1002/MMA.8011OpenAlexW4200575493MaRDI QIDQ6139739

Xin Qiaoling, Cao Tianqing, Unnamed Author

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8011

zbMATH Keywords

conditional expectationquantum doublequasi-basis\(C^\ast\)-index

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Applications of functional analysis in quantum physics (46N50) Twisted and skew group rings, crossed products (16S35)

Related Items (2)

Jones type \(\mathrm{C}^\ast\)-basic construction in non-equilibrium Hopf spin models ⋮ The \(\mathrm{C}^\ast\)-algebra index for observable algebra in non-equilibrium Hopf spin models

Cites Work

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• Quantum symmetry and braid group statistics in \(G\)-spin models
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• \(C^*\)-index of observable algebras in \(G\)-spin model
• Symmetric structure of field algebra of G-spin models determined by a normal subgroup
• Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation
• Index for 𝐶*-subalgebras
• Towards a quantum Galois theory for quantum double algebras of finite groups
• Entropy and index for subfactors

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