### Abstract

We introduce, for any group G, a category GΓ such that diagrams GΓ → SSets 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.

Original language | English |
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Title of host publication | Manifolds and K-theory |

Subtitle of host publication | conference on Manifolds, K-theory, and Related Topics, June 23-27, 2014, Dubrovnik, Croatia |

Editors | Gregory Arone, Brenda Johnson, Pascal Lambrechts, Brian A. Munson, Ismar Volić |

Place of Publication | Providence, Rhode Island |

Publisher | American Mathematical Society |

Pages | 39-50 |

Number of pages | 12 |

ISBN (Electronic) | 9781470436650 |

ISBN (Print) | 9781470417000 |

DOIs | |

Publication status | Published - 2017 |

Externally published | Yes |

### Publication series

Name | Contemporary mathematics |
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Publisher | American Mathematical Society |

Volume | 682 |

ISSN (Print) | 0271-4132 |

ISSN (Electronic) | 1098-3627 |

## Fingerprint Dive into the research topics of 'Diagrams encoding group actions on Γ-spaces'. Together they form a unique fingerprint.

## Cite this

Bergner, J. E., & Hackney, P. (2017). Diagrams encoding group actions on Γ-spaces. In G. Arone, B. Johnson, P. Lambrechts, B. A. Munson, & I. Volić (Eds.),

*Manifolds and*(pp. 39-50). (Contemporary mathematics; Vol. 682). Providence, Rhode Island: American Mathematical Society. https://doi.org/10.1090/conm/682/13803*K*-theory: conference on Manifolds, K-theory, and Related Topics, June 23-27, 2014, Dubrovnik, Croatia