We show a simple way to generate a Markovian cocycle on H circle times Gamm
a (L-2(R+,K)) from a semigroup of bounded operators on (H circle times L-2
(R+, K)) circle times H circle times (H circle times L-2 (R-, K) circle tim
es L-2 (R+, K)) circle times (H circle times L-2(R-, K)).