On the factoriality of \(q\)-deformed Araki-Woods von Neumann algebras
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Publication:2687029
DOI10.1007/S00220-022-04535-2OpenAlexW2599978557MaRDI QIDQ2687029
Kunal Mukherjee, Panchugopal Bikram, Simeng Wang, Éric Ricard
Publication date: 1 March 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06366
General theory of von Neumann algebras (46L10) Quantizations, deformations for selfadjoint operator algebras (46L65) Groups and semigroups of linear operators, their generalizations and applications (47Dxx) General quantum mechanics and problems of quantization (81Sxx)
Related Items (3)
Mixed \(q\)-deformed Araki-Woods von Neumann algebras ⋮ Conjugate variables approach to mixed q-Araki–Woods algebras: Factoriality and non-injectivity ⋮ Full solution of the factoriality question for \(q\)-Araki-Woods von Neumann algebras via conjugate variables
Cites Work
- Unnamed Item
- Unnamed Item
- A free stochastic partial differential equation
- Mixing and weakly mixing abelian subalgebras of type \(\mathrm{II}_{1}\) factors
- Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors
- Factoriality of Bożejko-Speicher von Neumann algebras
- An example of a generalized Brownian motion
- Asymptotic matricial models and QWEP property for \(q\)-Araki-Woods algebras
- Lower estimates on microstates free entropy dimension
- Nuclear maps and modular structures. I: General properties
- \(q\)-canonical commutation relations and stability of the Cuntz algebra
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Free quasi-free states
- Non-injectivity of the \(q\)-deformed von Neumann algebra
- On the commutants of generators of \(q\)-deformed Araki-Woods von Neumann algebras
- Free monotone transport without a trace
- Generator masas in \(q\)-deformed Araki-Woods von Neumann algebras and factoriality
- On type \(III_{1}\) factors arising as free products
- Conditional expectations in von Neumann algebras
- Factoriality of \(q\)-Gaussian von Neumann algebras
- Free Random Variables
- Free Araki-Woods factors and Connes’ bicentralizer problem
- The standard form of von Neumann algebras.
- ULTRACONTRACTIVITY AND STRONG SOBOLEV INEQUALITY FOR q-ORNSTEIN–UHLENBECK SEMIGROUP (-1 < q < 1)
- Remarks on factoriality and 𝑞-deformations
- $q$-Araki-Woods algebras: Extension of second quantisation and Haagerup approximation property
- Strong Solidity of free Araki-Woods factors
- A simple proof of the complete metric approximation property for $q$-Gaussian algebras
- On symmetric embedding of type I factors
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