  Given a pair of dynamical systems we consider a pair of commuting von Neumann
factors of type 11_1. The construction is a generalization of classical von
Neumann-Murrey and grouppoid construction. It gives a natural examples of
factors with non-unit coupling constant.As the partial cases we obtain
Connes-Riffel-Faddeev examples of the representations of rotation algebra. We
give also an example for infinite symmetric group.
