English

An equivalence between two frameworks for real algebraic K-theory

K-Theory and Homology 2026-04-22 v2 Algebraic Topology

Abstract

We prove an equivalence between the real KK-theory genuine C2C_2-spectra of Calm\`es et al. for Poincar\'e \infty-categories and the one of the authors of this work for Waldhausen \infty-categories with genuine duality.

Cite

@article{arxiv.2410.07846,
  title  = {An equivalence between two frameworks for real algebraic K-theory},
  author = {Hadrian Heine and Markus Spitzweck and Paula Verdugo},
  journal= {arXiv preprint arXiv:2410.07846},
  year   = {2026}
}

Comments

We corrected an inaccuracy of the previous version and upgraded the main result to a comparison of genuine spectra

R2 v1 2026-06-28T19:16:01.418Z