scientific article

zbMath1164.22001arXivmath/0506493MaRDI QIDQ3603255

Volker Runde

Publication date: 16 February 2009

Full work available at URL: https://arxiv.org/abs/math/0506493

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

locally compact quantum groupcompact quantum groupdiscrete quantum groupsecond dual, weakly compact multiplication

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative measure and integration (46L51) Abstract harmonic analysis (43A99) Compact groups (22C05) Operator algebra methods applied to problems in quantum theory (81R15) Duality theorems for locally compact groups (22D35) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantizations, deformations for selfadjoint operator algebras (46L65) Ideals and subalgebras (46H10) Dual spaces of operator algebras (47L50)

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Module homomorphisms and multipliers on locally compact quantum groups ⋮ On ideals of L1-algebras of compact quantum groups ⋮ Reiter's properties \((P_1)\) and \((P_2)\) for locally compact quantum groups ⋮ Invariant means on weakly almost periodic functionals with application to quantum groups ⋮ A type I conjecture and boundary representations of hyperbolic groups ⋮ Quantum semigroup compactifications and uniform continuity on locally compact quantum groups ⋮ COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS ⋮ Weak mixing for locally compact quantum groups ⋮ Compact and weakly compact multipliers of locally compact quantum groups ⋮ Ideals of the Quantum Group Algebra, Arens Regularity and Weakly Compact Multipliers ⋮ Around property (T) for quantum groups ⋮ Closed quantum subgroups of locally compact quantum groups ⋮ Compact quantum subgroups and left invariant \(C^*\)-subalgebras of locally compact quantum groups ⋮ Duality, cohomology, and geometry of locally compact quantum groups ⋮ On topological centre problems and SIN quantum groups ⋮ On the structure of ideals and multipliers: A unified approach

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