Multifunctorial Inverse $K$-Theory (2109.01430v5)

Published 3 Sep 2021 in math.AT, math.CT, and math.KT

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.