### Abstract

We define and study a certain class of spaces which includes p-completed classifying spaces of compact Lie groups, classifying spaces of p-compact groups, and p completed classifying spaces of certain locally finite discrete groups. These spaces are determined by fusion and linking systems over "discrete p-toral groups" - extensions of (Z/p(infinity))(r) by finite p-groups - in the same way that classifying spaces of p-local finite groups as defined in our paper [ 7] are determined by fusion and linking systems over finite p - groups. We call these structures "p-local compact groups".

Original language | English |
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Pages (from-to) | 315-427 |

Number of pages | 113 |

Journal | Geometry & Topology |

Volume | 11 |

DOIs | |

Publication status | Published - 2007 |

### Keywords

- classifying-spaces
- self-maps
- classification
- equivalences
- fusion
- limits
- BG

## Cite this

Broto, C., Levi, R., & Oliver, B. (2007). Discrete models for the p-local homotopy theory of compact Lie groups and p-compact groups.

*Geometry & Topology*,*11*, 315-427. https://doi.org/10.2140/GT.2007.11.315