Generalized \(q\)-Gaussian von Neumann algebras with coefficients. I. Relative strong solidity
From MaRDI portal
Publication:2326553
DOI10.2140/apde.2019.12.1643zbMath1439.46047arXiv1509.07069OpenAlexW2964682263MaRDI QIDQ2326553
Bogdan Teodor Udrea, Marius Junge
Publication date: 10 October 2019
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.07069
General theory of von Neumann algebras (46L10) Quantizations, deformations for selfadjoint operator algebras (46L65)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Type III factors with unique Cartan decomposition
- A free stochastic partial differential equation
- Strong solidity of group factors from lattices in SO(\(n,1\)) and SU(\(n,1\))
- Factoriality of Bożejko-Speicher von Neumann algebras
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors
- An example of a generalized Brownian motion
- A non-commutative central limit theorem
- Asymptotic matricial models and QWEP property for \(q\)-Araki-Woods algebras
- Lower estimates on microstates free entropy dimension
- On a class of II\(_1\) factors with at most one Cartan subalgebra
- Limit laws for random matrices and free products
- \(A\)-valued semicircular systems
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Free hypercontractivity
- An inequality for \(p\)-orthogonal sums in non-commutative \(L_p\)
- Generalized statistics of macroscopic fields
- Non-injectivity of the \(q\)-deformed von Neumann algebra
- Solid von Neumann algebras.
- The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
- Wick product for commutation relations connected with Yang-Baxter operators and new constructions of factors
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups
- On the structural theory of \(\mathrm{II}_1\) factors of negatively curved groups. II: Actions by product groups
- 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
- Factoriality of \(q\)-Gaussian von Neumann algebras
- On cocycle superrigidity for Gaussian actions
- Examples of factors which have no Cartan subalgebras
- Free Random Variables
- Operator spaces and Araki-Woods factors: A quantum probabilistic approach
- A reduction method for noncommutative 𝐿_{𝑝}-spaces and applications
- 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
- An amenable equivalence relation is generated by a single transformation
- A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras
- The standard form of von Neumann algebras.
- The Double B-Dual Of An Inner Product Module Over a C*-Algebra B
- On the structural theory of $\rm II_1$ factors of negatively curved groups
- Strong Solidity of free Araki-Woods factors
- Cartan subalgebras of amalgamated free product II$_1$ factors
- On Bi-exactness of Discrete Quantum Groups
- Inner Product Modules Over B ∗ -Algebras
- Gaussian random matrix models for \(q\)-deformed Gaussian variables
This page was built for publication: Generalized \(q\)-Gaussian von Neumann algebras with coefficients. I. Relative strong solidity
