Partial actions of \(C^{*}\)-quantum groups

DOI10.1215/17358787-2017-0056zbMath1410.46048arXiv1703.06546OpenAlexW3103859229MaRDI QIDQ1790414

Thomas Timmermann, Paula Quast, Franziska Kraken

Publication date: 2 October 2018

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06546

zbMATH Keywords

quantum groupHopf algebraglobalization\(C^{*}\)-algebrapartial action

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Ring-theoretic aspects of quantum groups (16T20)

Related Items (4)

Globalization for geometric partial comodules ⋮ Geometrically partial actions ⋮ Partial (Co)actions of multiplier Hopf algebras: Morita and Galois theories ⋮ Recent developments around partial actions

Cites Work

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• Partial actions of weak Hopf algebras: smash product, globalization and Morita theory.
• On idempotent states on quantum groups
• Groups with compact open subgroups and multiplier Hopf \(^*\)-algebras
• Quantum families of maps and quantum semigroups on finite quantum spaces
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• Non-semi-regular quantum groups coming from number theory
• Enveloping actions and Takai duality for partial actions.
• \(K\)-theory for partial crossed products by discrete groups
• Partial representations of Hopf algebras
• Partial Hopf module categories.
• From multiplicative unitaries to quantum groups. II
• duality and subgroups
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Globalization theorems for partial Hopf (co)actions, and some of their applications
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• Enveloping Actions for Partial Hopf Actions
• GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS
• Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory
• The Slice Map Problem for C*-Algebras
• Twisted Partial Actions: A Classification of Regular C*-Algebraic Bundles
• Amenability and Co-Amenability for Locally Compact Quantum Groups
• Partial Dynamical Systems, Fell Bundles and Applications
• FROM MULTIPLICATIVE UNITARIES TO QUANTUM GROUPS
• QUANTUM GROUP-TWISTED TENSOR PRODUCTS OF C*-ALGEBRAS
• Locally compact quantum groups
• A remark on manageable multiplicative unitaries

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