Algebraic K-theory of stable $\infty$-categories via binary complexes

Abstract

We adapt Grayson's model of higher algebraic $K$-theory using binary acyclic complexes to the setting of stable $\infty$-categories. As an application, we prove that the $K$-theory of stable $\infty$-categories preserves infinite products.

20 pages; accepted for publication by the Journal of Topology

References in corpus (2)

• Monochromatic homotopy theory is asymptotically algebraic
• On the K-theory of linear groups

Cited by in corpus (2)

• Split injectivity of A-theoretic assembly maps
• Shortening binary complexes and commutativity of $K$-theory with infinite products