Remarks on factoriality and 𝑞-deformations
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Publication:4577157
DOI10.1090/PROC/13715zbMath1402.46041arXiv1607.04027OpenAlexW2964082232MaRDI QIDQ4577157
Publication date: 17 July 2018
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.04027
Noncommutative probability and statistics (46L53) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantizations, deformations for selfadjoint operator algebras (46L65) Classification of factors (46L36)
Related Items (9)
Complete metric approximation property for \(q\)-Araki-Woods algebras ⋮ Mixed \(q\)-deformed Araki-Woods von Neumann algebras ⋮ $q$-Araki-Woods algebras: Extension of second quantisation and Haagerup approximation property ⋮ 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 ⋮ On the factoriality of \(q\)-deformed Araki-Woods von Neumann algebras ⋮ On MASAs in \(q\)-deformed von Neumann algebras ⋮ Singularity of the generator subalgebra in mixed $q$-Gaussian algebras ⋮ Connes' bicentralizer problem for q‐deformed Araki–Woods algebras
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- An example of a generalized Brownian motion
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- Generator masas in \(q\)-deformed Araki-Woods von Neumann algebras and factoriality
- Factoriality of \(q\)-Gaussian von Neumann algebras
- An application of free transport to mixed 𝑞-Gaussian algebras
- $q$-Araki-Woods algebras: Extension of second quantisation and Haagerup approximation property
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