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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 

Pages (fromto)  885895 
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
 1 Finished

Quantum Control : Approach Based on Scattering Theory for Noncommutative Markov Chains
Gohm, R. (PI)
Engineering and Physical Sciences Research Council
01 Jun 2009 → 31 May 2012
Project: Externally funded research