On the K-theory of Toric Stack Bundles
  Simplicial toric stack bundles are smooth Deligne-Mumford stacks over smooth varieties with fibre a toric Deligne-Mumford stack. We compute the Grothendieck $K$-theory of simplicial toric stack bundles and study the Chern character homomorphism. 
Yunfeng Jiang and Hsian-Hua Tseng