Resumen de Classical and Quantum Semigroups

Franco Fagnola

• Several quantum Markov semigroups admit an invariant abelian subalgebra which can be looked at as an algebra of bounded functions on some measurable space. The restriction to this subalgebra is a semigroup of positive and identity preserving operators i.e. a classical Markov semigroup (see Examples 3.3, 3.4).