On the K-theory of regular coconnective rings
K-Theory and Homology
2021-12-30 v1 Algebraic Topology
Abstract
We show that for a coconnective ring spectrum satisfying regularity and flatness assumptions, its algebraic K-theory agrees with that of its . We prove this as a consequence of a more general devissage result for stable infinity categories. Applications of our result include giving general conditions under which K-theory preserves pushouts, generalizations of -invariance of K-theory, and an understanding of the K-theory of categories of unipotent local systems.
Keywords
Cite
@article{arxiv.2112.14723,
title = {On the K-theory of regular coconnective rings},
author = {Robert Burklund and Ishan Levy},
journal= {arXiv preprint arXiv:2112.14723},
year = {2021}
}
Comments
24 pages. Comments welcome!