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arXiv · 2109.01430

Multifunctorial Inverse $K$-Theory

Niles Johnson·Donald Yau
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Abstract

We show that Mandell's inverse $K$-theory functor is a categorically-enriched non-symmetric multifunctor. In particular, it preserves algebraic structures parametrized by non-symmetric operads. As applications, we describe how ring categories arise as the images of inverse $K$-theory.

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Niles Johnson, Donald Yau. 2021-09-03. Multifunctorial Inverse $K$-Theory. https://doi.org/10.2140/akt.2022.7.507

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