On the $K$-theory of smooth toric DM stacks
  We 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. 
Lev A. Borisov and R. Paul Horja