Algebraic K‐theory of stable ∞‐categories via binary complexes

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

Saved in:
Bibliographic Details
Published inJournal of topology Vol. 12; no. 2; pp. 442 - 462
Main Authors Kasprowski, Daniel, Winges, Christoph
Format Journal Article
LanguageEnglish
Published 01.06.2019
Subjects
18F25 (secondary)
19D99 (primary)
Online AccessGet full text

Cover

More Information
Summary:We adapt Grayson's model of higher algebraic K‐theory using binary acyclic complexes to the setting of stable ∞‐categories. As an application, we prove that the K‐theory of stable ∞‐categories preserves infinite products.
Bibliography:The authors are members of the Hausdorff Center for Mathematics at the University of Bonn. The second author furthermore acknowledges support by the Max Planck Society and by Wolfgang Lück's ERC Advanced Grant ‘KL2MG‐interactions’ (no. 662400).
ISSN:1753-8416
1753-8424
DOI:10.1112/topo.12093