On Lehner’s ‘free’ noncommutative analogue of de Finetti’s theorem
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Publication:3085053
DOI10.1090/S0002-9939-2010-09926-2zbMath1213.46062arXiv0806.3632MaRDI QIDQ3085053
Publication date: 28 March 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.3632
mean ergodic theoremdistributional symmetriesnoncommutative Bernoulli shiftsnoncommutative conditional independencenoncommutative de Finetti theorem
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Exchangeability for stochastic processes (60G09)
Cites Work
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- A noncommutative extended de Finetti theorem
- Cumulants in noncommutative probability theory. IV: Noncrossing cumulants: de Finetti's theorem and \(L^{p}\)-inequalities
- Noncommutative independence from the braid group \({\mathbb{B}_{\infty}}\)
- A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation
- Convolution and limit theorems for conditionally free random variables
- Theory of operator algebras. II
- Rosenthal type inequalities for free chaos
- Free Random Variables
- Probabilistic Symmetries and Invariance Principles
- Theory of operator algebras I.
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