Algebraic K-theory of finitely projective modules on $\mathbb{E}_{\infty}$-rings (1608.01770v1)

Abstract: In this paper, we study the K-theory on higher modules in spectral algebraic geometry. We relate the K-theory of an $\infty$-category of finitely generated projective modules on certain $\mathbb{E}_{\infty}$-rings with the K-theory of an ordinary category of finitely generated projective modules on ordinary rings.