Contractivity properties of Ornstein–Uhlenbeck semigroup for mixed q-Araki–Woods von Neumann algebras

DOI10.1063/5.0057987OpenAlexW3210111309MaRDI QIDQ5015522

Panchugopal Bikram, Rajeeb R. Mohanta

Publication date: 9 December 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0057987

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative function spaces (46L52)

Cites Work

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• Hypercontractivity on the \(q\)-Araki-Woods algebras
• Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors
• Asymptotic matricial models and QWEP property for \(q\)-Araki-Woods algebras
• Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
• Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
• Free hypercontractivity
• Complete metric approximation property for \(q\)-Araki-Woods algebras
• Generalized statistics of macroscopic fields
• Non-injectivity of the \(q\)-deformed von Neumann algebra
• The free Markoff field
• Generator masas in \(q\)-deformed Araki-Woods von Neumann algebras and factoriality
• Factoriality of \(q\)-Gaussian von Neumann algebras
• Contractivity properties of Ornstein-Uhlenbeck semigroup for general commutation relations
• Noncommutative maximal ergodic theorems
• ULTRACONTRACTIVITY AND STRONG SOBOLEV INEQUALITY FOR q-ORNSTEIN–UHLENBECK SEMIGROUP (-1 < q < 1)

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