Some asymptotic properties of \(W^*\)-dynamical systems (Q1910986)

Given a \(W^*\)-dyamical system \(({\mathcal M},\omega,\tau)\), the introduction of its endomorphy subalgebra (which turns out to be the subalgebra of fixed points of \({\mathcal M}\) under the \(\tau^+_t \tau_t\)) allows to define a notion of asymptotic endomorphy, generalizing the ones of asymptotic automorphy and asymptotic normality. The study of the case when \(({\mathcal M},\omega,\tau)\) is a Clifford flow of shifts allows to show the substantial difference between these properties.