Independence and Product Systems

Preprint English OPEN
Skeide, Michael (2003)
  • Subject: 60J25 | Mathematics - Operator Algebras | Mathematics - Probability | 46L55 | 60A05 | 46L53

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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