REDUCTION OF FREE INDEPENDENCE TO TENSOR INDEPENDENCE

DOI10.1142/S0219025704001682zbMath1059.46048arXivmath/0210358MaRDI QIDQ4822542

Romuald Lenczewski

Publication date: 25 October 2004

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

Full work available at URL: https://arxiv.org/abs/math/0210358

zbMATH Keywords

free independencequantum probability spacehierarchy of freenessadditive free convolutiontensor independence

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Free probability and free operator algebras (46L54)

Related Items (7)

Decompositions of the free additive convolution ⋮ DECOMPOSITIONS OF THE FREE PRODUCT OF GRAPHS ⋮ CONSTRUCTIVE UNIVERSAL CENTRAL LIMIT THEOREMS BASED ON INTERACTING FOCK SPACES ⋮ Conditionally monotone independence and the associated products of graphs ⋮ DISCRETE INTERPOLATION BETWEEN MONOTONE PROBABILITY AND FREE PROBABILITY ⋮ MONOTONIC INDEPENDENCE ASSOCIATED WITH PARTIALLY ORDERED SETS ⋮ Motzkin path decompositions of functionals in noncommutative probability

Cites Work

• The regular ring of a finite AW\(^*\)-algebra
• Addition of certain non-commuting random variables
• The regular ring of a finite Baer\(^*\)-ring
• Filtered random variables, bialgebras, and convolutions
• Unification of Independence in Quantum Probability
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS

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