2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74491We explicitly calculate the Grothendieck $K$-theory ring of a smooth toric Deligne-Mumford stack and define an analog of the Chern character. In addition, we calculate $K$-theory pushforwards and pullbacks for weighted blowups of reduced smooth toric DM stacks.28 pages, LaTeXAlgebraic Geometry14M25text