  Every locally normal representation of a local chiral conformal quantum
theory is covariant with respect to global conformal transformations, if this
theory is diffeomorphism covariant in its vacuum representation.
  The unitary, strongly continuous representation implementing conformal
symmetry is constructed; it consists of operators which are inner in a global
sense for the representation of the quantum theory. The construction is
independent of positivity of energy and applies to all locally normal
representations irrespective of their statistical dimensions (index).
