Easy quantum groups and quantum subgroups of a semi-direct product quantum group
From MaRDI portal
Publication:5963571
DOI10.4171/JNCG/223zbMath1350.46047arXiv1311.7630OpenAlexW2963099657MaRDI QIDQ5963571
Publication date: 22 February 2016
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.7630
Free probability and free operator algebras (46L54) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Connections of Hopf algebras with combinatorics (16T30)
Related Items (20)
Free quantum analogue of Coxeter group \(D_4\) ⋮ RIESZ TRANSFORMS ON COMPACT QUANTUM GROUPS AND STRONG SOLIDITY ⋮ The full classification of orthogonal easy quantum groups ⋮ New products and \(\mathbb{Z}_2\)-extensions of compact matrix quantum groups ⋮ On the representation theory of partition (easy) quantum groups ⋮ A duality principle for noncommutative cubes and spheres ⋮ The classification of tensor categories of two-colored noncrossing partitions ⋮ Intertwiner spaces of quantum group subrepresentations ⋮ The fusion rules of some free wreath product quantum groups and applications ⋮ Introduction to compact (matrix) quantum groups and Banica-Speicher (easy) quantum groups ⋮ Probabilistic boundaries of finite extensions of quantum groups ⋮ Non-hyperoctahedral categories of two-colored partitions. I: New categories ⋮ Maximal torus theory for compact quantum groups ⋮ The intertwiner spaces of non-easy group-theoretical quantum groups ⋮ Homogeneous quantum groups and their easiness level ⋮ On the classification of partition quantum groups ⋮ Gluing compact matrix quantum groups ⋮ De Finetti theorems for the unitary dual group ⋮ Classification of globally colorized categories of partitions ⋮ Group-theoretical graph categories
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Group factors of the Haagerup type
- Classification results for easy quantum groups
- Quantum group of isometries in classical and noncommutative geometry
- De Finetti theorems for easy quantum groups
- Liberation of orthogonal Lie groups
- A remark on compact matrix quantum groups
- Amenable discrete quantum groups
- Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
- On a class of II\(_1\) factors with at most one Cartan subalgebra
- A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Compact matrix pseudogroups
- Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
- Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the classical Yang-Baxter equations
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- On the cohomology of operator algebras
- An example of a non nuclear C*-algebra, which has the metric approximation property
- Quantum symmetry groups of finite spaces
- Symmetries of a generic coaction
- Extensions of locally compact quantum groups and the bicrossed product construction.
- Free products of compact quantum groups
- Amenability of Hopf von Neumann algebras and Kac algebras
- Strongly solid group factors which are not interpolated free group factors
- On the classification of easy 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
- The full classification of orthogonal easy quantum groups
- Identical relations in groups. I
- The combinatorics of an algebraic class of easy quantum groups
- Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
- Approximation Properties for Group C∗-Algebras and Group Von Neumann Algebras
- Multipliers of Kac Algebras
- A Maximality Result for Orthogonal Quantum Groups
- On the structural theory of $\rm II_1$ factors of negatively curved groups
- Varieties of groups
- Groups with the Haagerup property. Gromov's a-T-menability
This page was built for publication: Easy quantum groups and quantum subgroups of a semi-direct product quantum group
