Local Operator Algebras in the Presence of Superselection Rules
Paul G. Federbush · Journal of Mathematical Physics · 1968
An introductory study is made of the relation between the local algebra of observables associated to a region of space-time and the algebra of all operators (disregarding superselection rules) associated to the same region of space-time. With a reasonable axiomatization of the problem and assuming the local algebra of observables is a factor of type I, II∞, or III, the relation between the two algebras is specified up to unitary equivalence in terms of algebraic invariants.