Gradient forms and strong solidity of free quantum groups
From MaRDI portal
Publication:2225609
DOI10.1007/s00208-020-02109-yzbMath1467.46069arXiv1802.01968OpenAlexW3110307957MaRDI QIDQ2225609
Publication date: 8 February 2021
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.01968
General theory of von Neumann algebras (46L10) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Quantum groups (operator algebraic aspects) (46L67)
Related Items (7)
Unitary conjugacy for type III subfactors and \(W^\ast\)-superrigidity ⋮ RIESZ TRANSFORMS ON COMPACT QUANTUM GROUPS AND STRONG SOLIDITY ⋮ Derivations and KMS-symmetric quantum Markov semigroups ⋮ Complete Logarithmic Sobolev inequality via Ricci curvature bounded below II ⋮ Properly proximal von Neumann algebras ⋮ Strong 1-boundedness of unimodular orthogonal free quantum groups ⋮ Structure of extensions of free Araki-Woods factors
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on weak amenability for free products of discrete quantum groups
- Haagerup approximation property for arbitrary von Neumann algebras
- Graph products of operator algebras
- Strong solidity of group factors from lattices in SO(\(n,1\)) and SU(\(n,1\))
- The Baum-Connes conjecture for free orthogonal quantum groups
- Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors
- BMO spaces associated with semigroups of operators
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors
- CCAP for universal discrete quantum groups
- Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups
- On a class of II\(_1\) factors with at most one Cartan subalgebra
- \(L^{2}\)-rigidity in von Neumann algebras
- Compact matrix pseudogroups
- Non-commutative symmetric Markov semigroups
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras
- The free compact quantum group \(U(n)\)
- Derivations as square roots of Dirichlet forms
- Amenability and subexponential spectral growth rate of Dirichlet forms on von Neumann algebras
- Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms
- Orthogonal free quantum group factors are strongly 1-bounded
- Finite von Neumann algebras with Haagerup property and \(L^2\)-compact semigroups
- Theory of operator algebras. II
- Solid von Neumann algebras.
- KMS-symmetric Markov semigroups
- The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
- Amenable correspondences and approximation properties for von Neumann algebras
- The Haagerup approximation property for von Neumann algebras via quantum Markov semigroups and Dirichlet forms
- Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory
- Examples of weakly amenable discrete quantum groups
- On the structural theory of \(\mathrm{II}_1\) factors of negatively curved groups. II: Actions by product groups
- The boundary of universal discrete quantum groups, exactness, and factoriality
- Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I
- On a class of type \(\text{II}_1\) factors with Betti numbers invariants
- The Haagerup property for locally compact quantum groups
- Examples of factors which have no Cartan subalgebras
- Introduction to compact and discrete quantum groups
- Approximation properties for locally compact quantum groups
- Modular properties of matrix coefficients of corepresentations of a locally compact quantum group
- Approximation properties for free orthogonal and free unitary quantum groups
- Property T for von Neumann Algebras
- Khintchine type inequalities for reduced free products and applications
- A Cocycle in the Adjoint Representation of the Orthogonal Free Quantum Groups
- Operator biprojectivity of compact quantum groups
- On a class of II<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> factors with at most one Cartan subalgebra, II
- A REPRESENTATION THEOREM FOR LOCALLY COMPACT QUANTUM GROUPS
- Free Products of C ∗ -Algebras
- Locally compact quantum groups in the von Neumann algebraic setting
- Amenability and Co-Amenability for Locally Compact Quantum Groups
- Harmonic analysis and BMO-spaces of free Araki--Woods factors
- EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS
- UNIVERSAL QUANTUM GROUPS
- On the structural theory of $\rm II_1$ factors of negatively curved groups
- The $L^p$-Fourier transform on locally compact quantum groups
- Strong Solidity of free Araki-Woods factors
- On Bi-exactness of Discrete Quantum Groups
- Asymptotic structure of free product von Neumann algebras
This page was built for publication: Gradient forms and strong solidity of free quantum groups
