Singularity of the generator subalgebra in mixed $q$-Gaussian algebras

DOI10.4064/cm7677-9-2018zbMath1443.46045arXiv1807.03081OpenAlexW2815363608MaRDI QIDQ5237141

Simeng Wang

Publication date: 16 October 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03081

zbMATH Keywords

von Neumann algebrasmasa$q$-commutation relations

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (2)

Mixed \(q\)-deformed Araki-Woods von Neumann algebras ⋮ On the von Neumann algebras associated to Yang–Baxter operators

Cites Work

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• Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
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• On MASAs in \(q\)-deformed von Neumann algebras
• Generator masas in \(q\)-deformed Araki-Woods von Neumann algebras and factoriality
• Factoriality of \(q\)-Gaussian von Neumann algebras
• Remarks on factoriality and 𝑞-deformations
• Singularity of the generator subalgebra in 𝑞-Gaussian algebras

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