2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108943We construct the quantum s-tuple subfactors for an AFD II_1 subfactor with finite index and depth, for an arbitrary natural number s. This is a generalization of the quantum multiple subfactors by J.Erlijman and H.Wenzl, which generalizes the quantum double construction of a subfactor for the case that the original subfactor gives rise to a braided tensor category. In this paper we give a multiple construction for a subfactor with a weaker condition than braidedness of the bimodule system.16 pages. Revised according to referee's comments. To appear in the Canadian Mathematical BulletinOperator AlgebrasQuantum Algebra46L37, 81T05text