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

11 June 2013
Alex Belton
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.
  • Functional Analysis Seminar