Independence and Product Systems
classification
🧮 math.OA
math.PR
keywords
independencemonotoneconditionalproductsystemsarisesarriveclassical
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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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