Bachmann, Tom and Khan, Adeel A. and Ravi, Charanya and Sosnilo, Vladimir (2022) Categorical Milnor squares and K-theory of algebraic stacks. SELECTA MATHEMATICA-NEW SERIES, 28 (5): 85. ISSN 1022-1824, 1420-9020
Full text not available from this repository. (Request a copy)Abstract
We introduce a notion of Milnor square of stable infinity-categories and prove a criterion under which algebraic K-theory sends such a square to a cartesian square of spectra. We apply this to prove Milnor excision and proper excision theorems in the K-theory of algebraic stacks with affine diagonal and nice stabilizers. This yields a generalization of Weibel's conjecture on the vanishing of negative K-groups for this class of stacks.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DESCENT; COMPLEXES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Ulrich Bunke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Feb 2024 16:07 |
| Last Modified: | 08 Feb 2024 16:07 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57818 |
Actions (login required)
 |
View Item |
