Test of the universality of naive-time-reversal-odd fragmentation functions.

We investigate the "spontaneous" hyperon transverse polarization in e+ e- annihilation and semi-inclusive deep inelastic scattering processes as a test of the universality of the naive-time-reversal-odd transverse momentum dependent fragmentation functions. We find that universality implies definite sign relations among various observables. This provides a unique opportunity to study initial or final state interaction effects in the fragmentation process and test the associated factorization.