2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162617The cup and cap product in twisted Hochschild (co)homology is computed for the standard quantum 2-sphere and used to construct a cyclic 2-cocycle that represents the fundamental Hochschild class.Quantum AlgebraK-Theory and HomologyThe Hochschild cohomology ring of the standard Podles quantum spheretext