Higher Segal structures in algebraic $K$-theory

Abstract

We introduce higher dimensional analogues of simplicial constructions due to Segal and Waldhausen, respectively producing the direct sum and algebraic $K$-theory spectra of an exact category. We then investigate their fibrancy properties, based on the formalism of higher Segal spaces by Dyckerhoff-Kapranov.

25 pages

References in corpus (2)

• Stable real K-theory and real topological Hochschild homology
• Hall monoidal categories and categorical modules

Cited by in corpus (3)

• Higher Segal spaces and Lax ${\mathbb{A}}_{\infty }$-algebras
• Higher symmetries in abstract stable homotopy theories
• The bivariant parasimplicial ${\mathsf{S}}_{\bullet }$-construction