2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63062We study intertwining operators among the twisted modules for rational VOAs and show the modular invariance property of the space spanned by the trace functions concerning to some representations of rational orbifold VOAs. Our result generalizes the results obtained by Dong-Li-Mason and Miyamoto, which are basically extensions of Zhu's celebrated works.Latex2e 27pages, no figureQuantum Algebra17B69, 17B68, 81T40text