AN ALGEBRAIC DUALITY THEORY FOR MULTIPLICATIVE UNITARIES

DOI10.1142/S0129167X01000770zbMath1111.46312arXivmath/0001096OpenAlexW2963680460MaRDI QIDQ4807350

Claudia Pinzari, John E. Roberts, Sergio Doplicher

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0001096

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Categories, functors in functional analysis (46M15)

Related Items (5)

Bundles of \(C^{*}\)-categories ⋮ MONOIDS, EMBEDDING FUNCTORS AND QUANTUM GROUPS ⋮ A theory of induction and classification of tensor \(C^\ast\)-categories ⋮ The principle of locality: Effectiveness, fate, and challenges ⋮ Tannaka duals in semisimple tensor categories

Cites Work

• A new duality theory for compact groups
• \(W^ *\)-categories
• 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
• Simple \(C^*\)-algebras generated by isometries
• A duality for Hopf algebras and for subfactors. I
• A generalization of the Cuntz algebras and model actions
• A theory of dimension
• A generalization of the Cuntz algebras and multiplicative unitaries
• Conjugation in representation categories of multiplicative unitaries and their actions on \(C^*\)-algebras
• A duality theorem for locally compact groups. I - IV
• A Characterization of Group Algebras as a Converse of Tannaka-Stinespring-Tatsuuma Duality Theorem

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