The Net of Algebras of Observables

Abstract

With the help of the mathematical concepts described in the last section we can elaborate the frame of local quantum theory in Minkowski space. In this section and in the next one we shall look at some specific structural properties which the net of algebras of local observables should (or might) have and describe some consequences. One objective is to place axiom A into a broader context. In the endeavour of formulating the assumptions concisely one has to balance between the need for keeping them general enough to encompass the physically interesting situations and the wish to make them as restrictive as possible. It should be borne in mind that the theory is not in a closed, final stage; hence there is some leeway.