A duality principle for noncommutative cubes and spheres
From MaRDI portal
Publication:344488
DOI10.4171/JNCG/254zbMath1367.46058arXiv1502.05315OpenAlexW2963254584MaRDI QIDQ344488
Publication date: 22 November 2016
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.05315
Noncommutative differential geometry (46L87) Free probability and free operator algebras (46L54) Quantizations, deformations for selfadjoint operator algebras (46L65)
Related Items (7)
The full classification of orthogonal easy quantum groups ⋮ Liberation theory for noncommutative homogeneous spaces ⋮ Quantum groups with partial commutation relations ⋮ Unitary easy quantum groups: geometric aspects ⋮ Super-easy quantum groups: definition and examples ⋮ Higher orbitals of quizzy quantum group actions ⋮ Quantum symmetries on noncommutative complex spheres with partial commutation relations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On bi-free de Finetti theorems
- Liberations and twists of real and complex spheres
- Two-parameter families of quantum symmetry groups
- Classification results for easy quantum groups
- Invariants of the half-liberated orthogonal group
- Quantum isometries of the finite noncommutative geometry of the standard model
- Quantum group of isometries in classical and noncommutative geometry
- Quantum Brownian motion on non-commutative manifolds: Construction, deformation and exit times
- De Finetti theorems for easy quantum groups
- Isometric coactions of compact quantum groups on compact quantum metric spaces
- Liberation of orthogonal Lie groups
- Quantum isometry groups of the Podles spheres
- A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation
- Compact matrix pseudogroups
- Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
- Quantum symmetry groups of finite spaces
- Symmetries of a generic coaction
- Stable laws and domains of attraction in free probability theory
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- The spectral action principle
- The free compact quantum group \(U(n)\)
- Moduli space and structure of noncommutative 3-spheres
- Free products of compact quantum groups
- On the spectral characterization of manifolds
- Quantum isometries and noncommutative spheres
- Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory
- Existence and examples of quantum isometry groups for a class of compact metric spaces
- On quantum symmetries of compact metric spaces
- Half-commutative orthogonal Hopf algebras
- On the partition approach to Schur-Weyl duality and free quantum groups (appendix by A. Chirvasitu)
- On the classification of easy quantum groups
- Why the standard model
- The full classification of orthogonal easy quantum groups
- Quantum Isometry Groups of Duals of Free Powers of Cyclic Groups
- QUANTUM ISOMETRY GROUPS OF SYMMETRIC GROUPS
- Quantum isometries of noncommutative polygonal spheres
- Quantum isometry groups of dual of finitely generated discrete groups and quantum groups
- Quantum isometry groups of $0$-dimensional manifolds
- Free Random Variables
- Tail algebras of quantum exchangeable random variables
- The combinatorics of an algebraic class of easy quantum groups
- Quantum automorphism groups of finite graphs
- Quantum exchangeable sequences of algebras
- Noncommutative manifolds, the instanton algebra and isospectral deformations
- Easy quantum groups and quantum subgroups of a semi-direct product quantum group
This page was built for publication: A duality principle for noncommutative cubes and spheres
