Endomorphisms of Equivariant Algebraic $K$-theory
Algebraic Geometry
2025-08-15 v2 Algebraic Topology
K-Theory and Homology
Abstract
We prove that for the action of a finite constant group scheme, equivariant algebraic -theory is represented by a colimit of Grassmannians in the equivariant motivic homotopy category. Using this result we show that the set of endomorphisms of the equivariant motivic space defined by coincides with the set of endomorphisms of infinite Grassmannians in the equivariant motivic homotopy category by explicitly computing the equivariant -theory of Grassmannians.
Cite
@article{arxiv.2304.02544,
title = {Endomorphisms of Equivariant Algebraic $K$-theory},
author = {K. Arun Kumar and Girja S Tripathi},
journal= {arXiv preprint arXiv:2304.02544},
year = {2025}
}
Comments
20 pages; substantially revised, version accepted for publication