Using the description of the category of quasicoherent sheaves on a root stack, we compute the -theory of root stacks via localization methods. We apply our results to the study of equivariant -theory of algebraic varieties under certain conditions.
"$G$-theory of root stacks and equivariant $K$-theory." Ann. K-Theory 4 (2) 151 - 183, 2019. https://doi.org/10.2140/akt.2019.4.151