FROM MULTIPLICATIVE UNITARIES TO QUANTUM GROUPS
From MaRDI portal
Publication:4881696
DOI10.1142/S0129167X96000086zbMath0876.46044OpenAlexW2785325519MaRDI QIDQ4881696
Publication date: 26 November 1997
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x96000086
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative dynamical systems (46L55)
Related Items
QUANTUM EXPONENTIAL FUNCTION, Extensions of locally compact quantum groups and the bicrossed product construction., Induced coactions along a homomorphism of locally compact quantum groups, \(K\)-amenability for amalgamated free products of amenable discrete quantum groups, An example of amenable Kac systems, Rieffel deformation via crossed products, LOCALLY COMPACT QUANTUM GROUPS IN THE UNIVERSAL SETTING, QUANTUM 'az + b' GROUP ON COMPLEX PLANE, DUALITY OF HOPF C*-ALGEBRAS, Quantum group-twisted tensor products of \(C^*\)-algebras. II., Measured quantum transformation groupoids, Faithful actions of locally compact quantum groups on classical spaces, Quantum actions on discrete quantum spaces and a generalization of Clifford's theory of representations, Rieffel deformation of group coactions, Representation of the quantum plane, its quantum double, and harmonic analysis on \(GL_q^+(2,\mathbb{R })\), Quantum symmetries of the twisted tensor products of \(C^*\)-algebras, Quantum relative modular functions, The unitary implementation of a measured quantum groupoid action, Non-commutative ambits and equivariant compactifications, Outer actions of measured quantum groupoids, On a certain approach to quantum homogeneous spaces, Translations in quantum groups, From Hopf algebras to topological quantum groups. A short history, various aspects and some problems, Quantum semigroup compactifications and uniform continuity on locally compact quantum groups, The κ-Poincaré group on a C∗-level, Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices, Actions, quotients and lattices of locally compact quantum groups, Remarks on the quantum Bohr compactification, From multiplicative unitaries to quantum groups. II, Landstad–Vaes theory for locally compact quantum groups, Admissibility conjecture and Kazhdan's property (T) for quantum groups, Semidirect products of C*-quantum groups: multiplicative unitaries approach, COMPLETELY POSITIVE MULTIPLIERS OF QUANTUM GROUPS, Closed quantum subgroups of locally compact quantum groups, Quantum automorphism groups of finite quantum groups are classical, The unitary implementation of a locally compact quantum group action, The pentagon relation and incidence geometry, Inclusions of von Neumann algebras and quantum groupoïds. III, Hopf images in locally compact quantum groups, Twisted product structure and representation theory of the quantum group \(U_q(2)\), A quantum \(GL(2,\mathbb{C})\) group at roots of unity, Amenable representations and Reiter's property for Kac algebras, QUANTUM 'ax + b' GROUP, Partial actions of \(C^{*}\)-quantum groups, Locally compact quantum groups, Anti-selfdual connections on the quantum projective plane: instantons, Duals of quantum semigroups with involution, Finite presentation, the local lifting property, and local approximation properties of operator modules, Measured quantum groupoids associated with matched pairs of locally compact groupoids, Quantum E(2) groups for complex deformation parameters, Irreducible inclusions of factors and multiplicative unitaries, Inclusions of von Neumann algebras, and quantum groupoïds, On matrix generalizations of the dilogarithm, A class of \(C^\ast\)-algebraic locally compact quantum groupoids. II: Main theory, Quantum groups with projection and extensions of locally compact quantum groups, Inclusions of von Neumann algebras and quantum groupoids. II, A new quantum deformation of `\(ax+b\)' group, Quantizations of some Poisson--Lie groups: the bicrossed product construction, Rieffel deformation of tensor functor and braided quantum groups, Induced corepresentations of locally compact quantum groups., Quantum \(\operatorname{GL}(2,\mathbb{C})\) group as double group over `\(az+b\)' quantum group
