On truncated \(t\)-free Fock spaces: spectrum of position operators and shift-invariant states

DOI10.1016/j.jmaa.2023.127121OpenAlexW4321203772MaRDI QIDQ2701285

Simone Del Vecchio, Vitonofrio Crismale, Stefano Rossi

Publication date: 28 April 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.00989

zbMATH Keywords

unique ergodicity\(C^{\ast}\)-dynamical systems\(t\)-free Fock space

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Ergodic theory (37Axx) Stochastic processes (60Gxx)

Cites Work

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• De Finetti theorem on the CAR algebra
• Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
• Convolution and limit theorems for conditionally free random variables
• Skew-product dynamical systems for crossed product \(C^\ast \)-algebras and their ergodic properties
• Failure of the Ryll-Nardzewski theorem on the car algebra
• Invariant conditional expectations and unique ergodicity for Anzai skew-products
• On the monotone \(C^\ast \)-algebra
• Correction to: ``On the uniform convergence of ergodic averages for \(C^*\)-dynamical systems
• Exchangeable stochastic processes and symmetric states in quantum probability
• The von Neumann algebras generated by \(t\)-Gaussians
• Unique mixing of the shift on the C*--algebras generated by the q--canonical commutation relations
• Probability interpolating between free and boolean
• Interacting Fock Spaces and Gaussianization of Probability Measures
• Ergodic theorems in quantum probability: an application to the monotone stochastic processes
• CONSTRUCTIVE UNIVERSAL CENTRAL LIMIT THEOREMS BASED ON INTERACTING FOCK SPACES
• Remarks on \(t\)-transformations of measures and convolutions