Abstract
We prove some fundamental results like localization, excision, Nisnevich descent, and the regular blow-up formula for the algebraic -theory of certain stack quotients of schemes with affine group scheme actions. We show that the homotopy -theory of such stacks is homotopy invariant. This implies a similar homotopy invariance property of the algebraic -theory with coefficients.
Citation
Amalendu Krishna. Charanya Ravi. "Algebraic $K$-theory of quotient stacks." Ann. K-Theory 3 (2) 207 - 233, 2018. https://doi.org/10.2140/akt.2018.3.207
Information