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Independence and Product Systems

Michael Skeide
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Abstract

Starting from elementary considerations about independence and Markov processes in classical probability we arrive at the new concept of conditional monotone independence (or operator-valued monotone independence). With the help of product systems of Hilbert modules we show that monotone conditional independence arises naturally in dilation theory.

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Michael Skeide. 2003-08-26. Independence and Product Systems. https://arxiv.org/abs/math/0308245

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