  We investigate the Collins azimuthal asymmetry of hadrons produced inside
jets in transversely polarized proton-proton collisions. Recently, the quark
transversity distributions and the Collins fragmentation functions have been
extracted within global analyses from data of the processes semi-inclusive deep
inelastic scattering and electron-positron annihilation. We calculate the
Collins azimuthal asymmetry for charged pions inside jets using these
extractions for RHIC kinematics at center-of-mass energies of 200 and 500 GeV.
We compare our results with recent data from the STAR Collaboration at RHIC and
find good agreement, which confirms the universality of the Collins
fragmentation functions. In addition, we further explore the impact of
transverse momentum dependent evolution effects.
