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Abstract
Inspired by Lehner's results on exchangeability systems in [Leh06] we define `weak conditional freeness' and `conditional freeness' for stationary processes in an operator algebraic framework of noncommutative probability. We show that these two properties are equivalent and thus the process embeds into a von Neumann algebraic amalgamated free product over the fixed point algebra of the stationary process.
Original language | English |
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Pages (from-to) | 885-895 |
Number of pages | 11 |
Journal | Proceedings of the American Mathematical Society |
Volume | 139 |
Publication status | Published - 31 Jan 2011 |
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Dive into the research topics of 'On Lehner's `free' noncommutative analogue of the de Finetti theorem'. Together they form a unique fingerprint.Projects
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Quantum Control : Approach Based on Scattering Theory for Non-commutative Markov Chains
Gohm, R. (PI) & Gough, J. (PI)
Engineering and Physical Sciences Research Council
01 Jun 2009 → 31 May 2012
Project: Externally funded research