On the monotone \(C^\ast \)-algebra

DOI10.1016/j.laa.2022.11.012OpenAlexW4310066664MaRDI QIDQ2109068

Simone Del Vecchio, Vitonofrio Crismale, Stefano Rossi

Publication date: 20 December 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.01999

zbMATH Keywords

AF-algebrasmaximal abelian subalgebrasmonotone \(C^\ast\)-algebra

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53) (K_0) as an ordered group, traces (19K14) Limit algebras, subalgebras of (C^*)-algebras (47L40)

Related Items (2)

Freedman's theorem for unitarily invariant states on the CCR algebra ⋮ On truncated \(t\)-free Fock spaces: spectrum of position operators and shift-invariant states

Cites Work

• Wick order, spreadability and exchangeability for monotone commutation relations
• Skew-product dynamical systems for crossed product \(C^\ast \)-algebras and their ergodic properties
• Invariant conditional expectations and unique ergodicity for Anzai skew-products
• THE FIVE INDEPENDENCES AS NATURAL PRODUCTS
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
• Ergodic theorems in quantum probability: an application to the monotone stochastic processes
• Ergodic properties of the Anzai skew-product for the non-commutative torus
• Vacuum distribution, norm and spectral properties for sums of monotone position operators
• \(C^*\)-algebras by example
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