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

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.

23 pages

References in corpus (3)

• Regularity of structured ring spectra and localization in K-theory
• K-theory of endomorphisms via noncommutative motives
• A characterization of simplicial localization functors