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arXiv · 2609.26741

A multiplicative universal property for real algebraic $K$-theory

Hadrian Heine·Markus Spitzweck·Paula Verdugo
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Abstract

We prove that the real $K$-theory functor is lax symmetric monoidal. Moreover, it is initial among those real functors $\mathsf{Wald}_\infty^\mathrm{gd}\to\mathsf{Sp}^{C_2}$ that are additive and lax symmetric monoidal.

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Hadrian Heine, Markus Spitzweck, Paula Verdugo. 2026-09-22. A multiplicative universal property for real algebraic $K$-theory. https://arxiv.org/abs/2609.26741

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