G-ALGEBRA AND CURVED SPACETIME

The recently proved nonexistence of generalized statistics in curved spacetime is reconsidered in the framework of g-algebra; we show in a rigorous way that for asymptotic states, a Fermi or Bose statistics in the ''in'' region always evolves a Bose or Fermi statistics in the ''out'' region; the new approach, however, permits one to infer that this fact might not be true when considering intermediate states.