  In this paper, we develop several techniques for computing the higher
G-theory and K-theory of quotient stacks. Our main results for computing these
groups are in terms of spectral sequences. We show that these spectral
sequences degenerate in the case of many toric stacks, thereby providing an
efficient computation of their higher K-theory. We apply our main results to
give explicit description for the higher K-theory for many smooth toric stacks.
As another application, we describe the higher K-theory of toric stack bundles
over smooth base schemes.
