Martin Florig and Stephen J. Summers
On the Statistical Independence of Algebras of Observables
(51K, AMSTeX)
ABSTRACT. We re-examine various notions of statistical independence presently
in use in algebraic quantum theory, establishing alternative characterizations
for such independence, some of which are also valid without assuming that
the observable algebras mutually commute. In addition, in the
context which holds in concrete applications to quantum theory, the equivalence
of three major notions of statistical independence is proven.