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Abstract
We show that Mandell’s inverse
K -theory
functor is a categorically enriched nonsymmetric multifunctor. In particular, it
preserves algebraic structures parametrized by nonsymmetric operads. As
applications, we describe how ring categories arise as the images of inverse
K -theory.
Keywords
inverse $K\mkern-2mu$-theory, enriched multicategory,
multifunctor, permutative category
Mathematical Subject Classification
Primary: 19D23
Secondary: 18D20, 18M05, 18M65, 55P43
Milestones
Received: 9 September 2021
Revised: 21 June 2022
Accepted: 15 July 2022
Published: 19 December 2022