2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/198758We give an algebraic proof of the spin-statistics connection for the parabosonic and parafermionic quantum topological charges of a theory of local observables with a modular PCT-symmetry. The argument avoids the use of the spinor calculus and also works in 1+2 dimensions. It is expected to be a progress towards a general spin-statistics theorem including also (1+2)-dimensional theories with braid group statistics.LATEX, 15 pages, no figuresHigh Energy Physics - Theorytext