2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227602In this note, we prove that the Grothendieck group of a smooth complete toric Deligne-Mumford stack is torsion free. This statement holds when the generic point is stacky. We also construct an example of open toric stack with torsion in K-theory. This is a part of the author's Ph.D thesis.6 pagesAlgebraic GeometryK-Theory and Homologytext