Discrete models for the p-local homotopy theory of compact Lie groups and p-compact groups

Carles Broto, R. A.N. Levi, B. O.B. Oliver

Research output: Contribution to journalArticleResearchpeer-review

25 Citations (Scopus)

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 languageEnglish
Pages (from-to)315-427
JournalGeometry and Topology
Volume11
DOIs
Publication statusPublished - 16 Mar 2007

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