SIMPLICIAL ∗-MODULES AND MILD ACTIONS

Tobias Lenz, Anna Marie Schröter

Research output: Contribution to journalArticleAcademicpeer-review

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 languageEnglish
Pages (from-to)229-258
Number of pages30
JournalHomology, Homotopy and Applications
Volume26
Issue number2
DOIs
Publication statusPublished - 2024

Keywords

  • equivariant homotopy theory
  • E∞-monoid
  • global homotopy theory
  • Infinite loop space
  • M-set

Fingerprint

Dive into the research topics of 'SIMPLICIAL ∗-MODULES AND MILD ACTIONS'. Together they form a unique fingerprint.

Cite this