The asymptotic flow of an E₀-semigroup
by
Remus Floricel
University of Regina

The asymptotic flow of an E₀-semigroup r = {r_t | t ≥ 0} acting on a type I_∞ factor M is the W^*-dynamical system (M_∞, r | _M∞), where M_∞ is the tail algebra ∩_{t > 0}r_t(M). We show that for any E₀-semigroup r, and s > 0, there exists a cocycle perturbation of r whose asymptotic flow is a s-periodic type I_∞ W^*-dynamical system.

Date received: May 5, 2008