Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois 60115
Abstract:
A quasi-state is a positive functional on that is only assumed to be linear on singly-generated subalgebras. We consider the ``iterated integral' of two quasi-states and determine when this gives a quasi-state on the product space. We also provide explicit formulas for the corresponding quasi-measures in case it does. Finally, we show the general failure of Fubini's Theorem for quasi-states.