Weak amenability of locally compact quantum groups and approximation properties of extended quantum \(\mathrm{SU}(1,1)\)

DOI10.1007/s00220-014-2014-0zbMath1305.43001arXiv1306.4558OpenAlexW3106443675MaRDI QIDQ406654

Martijn Caspers

Publication date: 9 September 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4558

zbMATH Keywords

approximation propertiesweak amenabilitylocally compact quantum groupsFourier algebras, multipliers.

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (3)

Fourier theory and \(C^\ast\)-algebras ⋮ The approximation property for locally compact quantum groups ⋮ Topological generation and matrix models for quantum reflection groups

Cites Work

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• Locally compact quantum groups. A von Neumann algebra approach
• Spherical Fourier transforms on locally compact quantum Gelfand pairs
• On a correspondence between \(SU_q(2)\), \(\widetilde{E}_q(2)\) and \(\widetilde{SU}_q(1,1)\)
• On a Morita equivalence between the duals of quantum \(SU(2)\) and quantum \(\widetilde E(2)\)
• CCAP for universal discrete quantum groups
• Amenable discrete quantum groups
• Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions
• Galois objects for algebraic quantum groups.
• Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
• Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• Theory of operator algebras. II
• A locally compact quantum group analogue of the normalizer of \(\text{SU}(1,1)\) in \(\text{SL}(2,\mathbb C)\)
• Amenability of Hopf von Neumann algebras and Kac algebras
• Completely positive definite functions and Bochner's theorem for locally compact quantum groups
• Examples of weakly amenable discrete quantum groups
• An invitation to quantum groups and duality. From Hopf algebras to multiplicative unitaries and beyond
• The Haagerup property for locally compact quantum groups
• Group C*-algebras without the completely bounded approximation property
• Completely bounded multipliers over locally compact quantum groups
• Galois objects and cocycle twisting for locally compact quantum groups
• Modular properties of matrix coefficients of corepresentations of a locally compact quantum group
• IDEMPOTENT STATES ON LOCALLY COMPACT QUANTUM GROUPS
• Approximation properties for free orthogonal and free unitary quantum groups
• The Dual Quantum Group for the Quantum Group Analog of the Normalizer of SU(1, 1) in
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• Representations of compact quantum groups and subfactors
• Approximation properties for KAC algebras
• Locally compact quantum groups in the von Neumann algebraic setting
• Amenability and Co-Amenability for Locally Compact Quantum Groups
• LOCALLY COMPACT QUANTUM GROUPS IN THE UNIVERSAL SETTING
• COMPLETELY POSITIVE MULTIPLIERS OF QUANTUM GROUPS
• The $L^p$-Fourier transform on locally compact quantum groups
• Haagerup approximation property for quantum reflection groups
• Completely bounded representations of convolution algebras of locally compact quantum groups
• Locally compact quantum groups

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