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math.KT2026
An equivalence between two frameworks for real algebraic K-theory
Hadrian Heine, Markus Spitzweck, Paula Verdugo
We prove an equivalence between the real -theory genuine -spectra of Calmès et al. for Poincaré -categories and the one of the authors of this work for Waldhausen…
math.KT2025
Infinity categories with duality and hermitian multiplicative infinite loop space machines
Hadrian Heine, Alejo Lopez-Avila, Markus Spitzweck
We show that any preadditive infinity category with duality gives rise to a direct sum hermitian K-theory spectrum. This assignment is lax symmetric monoidal, thereby producing E-i…