Tail algebras for monotone and \(q\)-deformed exchangeable stochastic processes

DOI10.1007/s10231-022-01250-6OpenAlexW4288967823MaRDI QIDQ2687944

Stefano Rossi, Vitonofrio Crismale

Publication date: 7 March 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.04323

zbMATH Keywords

de Finetti's theoremtail algebras\(q\)-deformed commutation relationsmonotone processes

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Noncommutative probability and statistics (46L53) Zero-one laws (60F20) Exchangeability for stochastic processes (60G09)

Related Items

Freedman's theorem for unitarily invariant states on the CCR algebra

Cites Work

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• De Finetti theorem on the CAR algebra
• A noncommutative extended de Finetti theorem
• A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation
• Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
• Wick order, spreadability and exchangeability for monotone commutation relations
• Exchangeable stochastic processes and symmetric states in quantum probability
• Unique mixing of the shift on the C*--algebras generated by the q--canonical commutation relations
• A characterization of freeness by invariance under quantum spreading
• Free Random Variables
• Symmetric Measures on Cartesian Products
• On stationary sequences of random variables and the de Finetti's equivalence
• Free Products of C ∗ -Algebras
• Ergodic theorems in quantum probability: an application to the monotone stochastic processes
• Symmetric states for C∗-Fermi systems
• A Note on Boolean Stochastic Processes
• Symmetries and ergodic properties in quantum probability
• The coincidence of measure algebras under an exchangeable probability
• Probabilistic Symmetries and Invariance Principles