2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65146We develop methods for computing Hochschild cohomology groups and deformations of crossed product rings. We use these methods to find deformations of a ring associated to a particular orbifold with discrete torsion, and give a presentation of the center of the resulting deformed ring. This connects with earlier calculations by Vafa and Witten of chiral numbers and deformations of a similar orbifold.19 pages, LaTeX2e; final version to appear in JPAAK-Theory and HomologyHigh Energy Physics - TheoryRings and Algebras16E40 (primary) 16S40, 81T30, 81T75text