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PreprintarXiv licencearXiv

A multiplicative universal property for real algebraic K-theory

Abstract

We prove that the real K-theory functor is lax symmetric monoidal. Moreover, it is initial among those real functors Wald∞gd→SpC2 that are additive and lax symmetric monoidal.

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BibTeX
@misc{heine2026multiplicative,
  title = {{A multiplicative universal property for real algebraic $K$-theory}},
  author = {Hadrian Heine and Markus Spitzweck and Paula Verdugo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.26741},
  eprint = {2609.26741},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26741},
}
RIS
TY  - UNPB
TI  - A multiplicative universal property for real algebraic K-theory
AU  - Hadrian Heine
AU  - Markus Spitzweck
AU  - Paula Verdugo
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.26741
UR  - https://arxiv.org/abs/2609.26741
AB  - We prove that the real K-theory functor is lax symmetric monoidal. Moreover, it is initial among those real functors Wald_∞^gd→Sp^C_2 that are additive and lax symmetric monoidal.
ER  -