2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224072We give a formula, in terms of products of commutators, for the application of the odd multiplicative character to higher Loday symbols. On our way we construct a product on the relative K-groups and investigate the multiplicative properties of the relative Chern character.K-Theory and HomologyOperator Algebrastext