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 ∞)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 |
Journal | Geometry and Topology |
Volume | 11 |
DOIs | |
Publication status | Published - 16 Mar 2007 |