Krein duality, positive 2-algebras, and the dilation of comultiplications.

DOI10.1007/s10688-007-0010-2zbMath1184.16034arXivmath/0702486OpenAlexW2324513850MaRDI QIDQ2458032

Anatoly M. Vershik

Publication date: 31 October 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702486

zbMATH Keywords

Hecke algebrascoalgebrascomultiplicationsinvolutive algebrasalgebras in positive dualitycoinvolutionsinvolutive bialgebraspositive 2-algebraspositivity in algebras

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Quantizations, deformations for selfadjoint operator algebras (46L65) Bialgebras (16T10)

Related Items (3)

Description of the characters and factor representations of the infinite symmetric inverse semigroup. ⋮ Duality in the theory of finite commutative multivalued groups. ⋮ Krein duality, positive 2-algebras, and the dilation of comultiplications.

Cites Work

• Geometrical state theory, the von Neumann boundary, and duality of the \(C^*\)-algebras
• Algebras in Plancherel duality and algebraic combinatorics
• Combinatorial algebras and multivalued involutive groups
• On M. G. Krein's works in the theory of representations and harmonic analysis on topological groups
• Krein duality, positive 2-algebras, and the dilation of comultiplications.
• Polymorphisms, Markov processes, and quasi-similarity
• Quantum groups with invariant integrals
• Tannaka-Krein duality for compact groupoids II, duality
• Modular Permutation Representations
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