Factoriality of mixed \(q\)-deformed Araki-Woods von Neumann algebras

DOI10.1142/S0219025723500194MaRDI QIDQ6616129

Panchugopal Bikram, R. Rahul Kumar, Kunal Mukherjee

Publication date: 8 October 2024

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

von Neumann algebrasfactoriality

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Quantizations, deformations for selfadjoint operator algebras (46L65)

Cites Work

• Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
• Free quasi-free states
• Generator masas in \(q\)-deformed Araki-Woods von Neumann algebras and factoriality
• On the factoriality of \(q\)-deformed Araki-Woods von Neumann algebras
• \(q\)-deformed Araki-Woods algebras
• ULTRACONTRACTIVITY AND STRONG SOBOLEV INEQUALITY FOR q-ORNSTEIN–UHLENBECK SEMIGROUP (-1 < q < 1)
• Remarks on factoriality and 𝑞-deformations
• Une classification des facteurs de type ${\rm III}$

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