Sheaves and $K$-theory for ${\mathbb{F}}_1$-schemes

Chenghao Chu, Oliver Lorscheid, Rekha Santhanam

This paper is devoted to the open problem in ${\mathbb{F}}_1$-geometry of developing $K$-theory for ${\mathbb{F}}_1$-schemes. We provide all necessary facts from the theory of monoid a…