The construction of quantum dynamical semigroups by way of non-commutative Markov processes

Although generators of strongly continuous semigroups of contractions

on Banach spaces are characterised by the Hille-Yosida theorem, in

practice it can be difficult to verify that this theorem's hypotheses

are satisfied. In this talk, it will be shown how to construct certain

quantum Markov semigroups (strongly continuous semigroups of

contractions on C* algebras) by realising them as expectation

semigroups of non-commutative Markov processes; the extra structure

possessed by such processes is sufficient to avoid the need to use

Hille and Yosida's result.