Coactions of Hopf algebras on Cuntz algebras and their fixed point algebras

DOI10.1090/S0002-9939-97-03595-8zbMath0870.46045OpenAlexW1862490867MaRDI QIDQ3127286

Anna Maria Paolucci

Publication date: 8 April 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03595-8

zbMATH Keywords

dualityrepresentationHilbert spacescompact quantum groupsCuntz algebra\(C^*\)-algebrasfixed point subalgebracorepresentationcoactions of Hopf algebras

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative dynamical systems (46L55) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05)

Related Items (6)

Fixed point algebras for easy quantum groups ⋮ Unnamed Item ⋮ Cyclic macro-element for soil-structure interaction: material and geometrical non-linearities ⋮ Application of thermodynamics to the global modelling of shallow foundations on frictional material ⋮ Fixed points of compact quantum groups actions on Cuntz algebras ⋮ Compact quantum metric spaces and ergodic actions of compact quantum groups

Cites Work

• Some remarks on actions of compact matrix quantum groups on \(C^*\)- algebras
• Duals of compact Lie groups realized in the Cuntz algebras and their actions on \(C^ *\)-algebras
• Compact matrix pseudogroups
• Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Quantum \(SU(2)\) and \(E(2)\) groups. Contraction procedure
• Simple \(C^*\)-algebras generated by isometries
• Superselection sectors with braid group statistics and exchange algebras
• Dual Pairs of Hopf *-Algebras
• Unnamed Item
• Unnamed Item

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