2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133343The K-rings of non-singular complex pro jective varieties as well as quasi- toric manifolds were described in terms of generators and relations in an earlier work of the author with V. Uma. In this paper we obtain a similar description for complete non-singular toric varieties. Indeed, our approach enables us to obtain such a description for the more general class of torus manifolds with locally standard torus action and orbit space a homology polytope.11 pages, no figuresAlgebraic TopologyAlgebraic Geometry14M25; 55R25text