2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78055The aim of this paper is to introduce and to investigate the analogues of torsors for compact quantum groups and to study their role in representation theory. Let A be a unitarizable Hopf *-algebra: we show that there is a category equivalence between *-fibre functors on unitary A-comodules and A-*-Galois extension endowed with a positive Haar measure.28 pages, Latex. English translation of the 1997 french preprintQuantum Algebra16W30, 46L89text