Mathematics – Operator Algebras
Scientific paper
2003-08-26
In S. Albeverio, Z.-M. Ma, and M. R\"ockner, editors, Recent developments in stochastic analysis and related topics. World Sci
Mathematics
Operator Algebras
To appear in Proceedings of the ``First Sino-German Meeting on Stochastic Analysis'', Beijing, 2002
Scientific paper
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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