We explain how the GNS-product system of a Markov semigroup can be used to dilate that Markov semigroup. If (and only if) the Markov semigroup is spatial, the dilation is a cocycle perturbation of a noise. We explain that every noise is a monotone noise, and that every monotone noise can be \blown up" to a free noise.
Dilations of Markov Semigroups with the Help of Product Systems
SKEIDE, Michael
2011-01-01
Abstract
We explain how the GNS-product system of a Markov semigroup can be used to dilate that Markov semigroup. If (and only if) the Markov semigroup is spatial, the dilation is a cocycle perturbation of a noise. We explain that every noise is a monotone noise, and that every monotone noise can be \blown up" to a free noise.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
