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arXiv · 2506.13732

Segal K-theory factors through Waldhausen categories

Maxine E. Calle·David Chan
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Abstract

We show that Segal's K-theory of symmetric monoidal categorizes can be factored through Waldhausen categories. In particular, given a symmetric monoidal category $C$, we produce a Waldhausen category $Γ(C)$ whose K-theory is weakly equivalent to the Segal K-theory of $C$. As a consequence, we show that every connective spectrum may be obtained via Waldhausen K-theory.

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BibTeXRIS

Maxine E. Calle, David Chan. 2026-03-12. Segal K-theory factors through Waldhausen categories. https://doi.org/10.1090/proc%2F17715

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