NEW QUANTUM "az+b" GROUPS

DOI10.1142/S0129055X05002339zbMath1088.46041arXivmath/0604622MaRDI QIDQ5313447

Piotr M. Sołtan

Publication date: 1 September 2005

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

Full work available at URL: https://arxiv.org/abs/math/0604622

zbMATH Keywords

commutation relationsmultiplicative unitarynon-compact quantum group

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry of quantum groups (58B32) Other special functions (33E99) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (8)

The canonical central exact sequence for locally compact quantum groups ⋮ Examples of non-compact quantum group actions ⋮ Faithful actions of locally compact quantum groups on classical spaces ⋮ Compact quantum group structures on type-I \(\mathrm{C}^*\)-algebras ⋮ From multiplicative unitaries to quantum groups. II ⋮ Semidirect products of C*-quantum groups: multiplicative unitaries approach ⋮ Hopf images in locally compact quantum groups ⋮ Quantum groups with projection and extensions of locally compact quantum groups

Cites Work

• Functional form of unitary representations of the quantum `\(az+b\)' group.
• Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
• Quantum \(E(2)\) group and its Pontryagin dual
• Operator equalities related to the quantum \(E(2)\) group
• QUANTUM 'ax + b' GROUP
• Amenability and Co-Amenability for Locally Compact Quantum Groups
• A C*-ALGEBRAIC FRAMEWORK FOR QUANTUM GROUPS
• QUANTUM EXPONENTIAL FUNCTION
• QUANTUM 'az + b' GROUP ON COMPLEX PLANE
• C*-ALGEBRAS GENERATED BY UNBOUNDED ELEMENTS
• Locally compact quantum groups
• A quantum \(GL(2,\mathbb{C})\) group at roots of unity
• A remark on manageable multiplicative unitaries

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