Multifunctorial Inverse $K$-Theory
Algebraic Topology
2022-12-28 v5 Category Theory
K-Theory and Homology
Abstract
We show that Mandell's inverse -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 -theory.
Cite
@article{arxiv.2109.01430,
title = {Multifunctorial Inverse $K$-Theory},
author = {Niles Johnson and Donald Yau},
journal= {arXiv preprint arXiv:2109.01430},
year = {2022}
}
Comments
36 pages. Final version. To appear in Annals of K-Theory