On the PCT theorem in the theory of local observables

We review the PCT-theorem and problems connected with its demonstration. We add a new proof of the PCT-theorem in the theory of local observables which is similar to that one of Jost in Wightman quantum field theory. We also look at consequences in case the PCT-symmetry is given on the algebraic level. At the end we present some examples which answer general questions and throw some light on open problems.

axiomatic field theory
operator: algebra
invariance: gauge
invariance: CPT
Hilbert space

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