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  are determined by fusion and linking systems over finite p-groups. We call these structures "p-local compact groups".
|Journal||Geometry and Topology|
|Publication status||Published - 16 Mar 2007|