Diagrams encoding group actions on $\Gamma$-spaces

Julia E. Bergner; Philip Hackney

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arXiv · 1212.4542

Diagrams encoding group actions on $\Gamma$-spaces

Julia E. Bergner·Philip Hackney

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Abstract

We introduce, for any group $G$, a category $G\Gamma$ such that diagrams $G\Gamma \rightarrow \mathcal{SS}ets$ satisfying a Segal condition correspond to infinite loop spaces with a $G$-action. We also consider diagrams which encode group actions on infinite loop spaces where the group may vary.

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BibTeX RIS

Julia E. Bergner, Philip Hackney. 2012-12-19. Diagrams encoding group actions on $\Gamma$-spaces. https://arxiv.org/abs/1212.4542

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