Abstract
We develop an analogue of the theory of ∗-modules in the world of simplicial sets, based on actions of a certain simplicial monoid EM originally appearing in the construction of global algebraic K-theory. As our main results, we show that strictly commutative monoids with respect to a certain box product on these simplicial ∗-modules yield models of equivariantly and globally coherently commutative monoids, and we give a characterization of simplicial ∗-modules in terms of a certain mildness condition on the EM-action, relaxing the notion of tameness previously investigated by Sagave–Schwede and the first author.
Original language | English |
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Pages (from-to) | 229-258 |
Number of pages | 30 |
Journal | Homology, Homotopy and Applications |
Volume | 26 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2024 |
Keywords
- equivariant homotopy theory
- E∞-monoid
- global homotopy theory
- Infinite loop space
- M-set