Global algebraic K-theory
Algebraic Topology
2022-07-05 v2
Abstract
We introduce a global equivariant refinement of algebraic K-theory; here `global equivariant' refers to simultaneous and compatible actions of all finite groups. Our construction turns a specific kind of categorical input data into a global -spectrum that keeps track of genuine -equivariant infinite loop spaces, for all finite groups . The resulting global algebraic K-theory spectrum is a rigid way of packaging the representation K-theory, or `Swan K-theory' into one highly structured object.
Cite
@article{arxiv.1912.08872,
title = {Global algebraic K-theory},
author = {Stefan Schwede},
journal= {arXiv preprint arXiv:1912.08872},
year = {2022}
}