O. Bratteli et al., ABUNDANCE OF INVARIANT AND ALMOST INVARIANT PURE STATES OF C-ASTERISK-DYNAMICAL SYSTEMS, Communications in Mathematical Physics, 187(3), 1997, pp. 491-507
We show that invariant states of C-dynamical systems can be approxima
ted in the weak-topology by invariant pure states, or almost invarian
t pure states, under various circumstances.