PCT theorem for the operator product expansion in curved spacetime (Q1418325)

The paper deals with an axiomatic quantum field theory on curved spacetime. A mathematically precise formulation of the operator product expansion in a curved spacetime is given. As a main result it is shown that a local, covariant, quantum field theory possessing an operator product expansion and satisfying certain model independent conditions admits PCT-invariance (parity, charge, time-invariance). This result has the potential to replace the PCT Theorem in Minkowski spacetime.