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

Carles Broto, Ran Levi, Bob Oliver

Research output: Contribution to journalArticle

23 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(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 languageEnglish
Pages (from-to)315-427
Number of pages113
JournalGeometry & Topology
Volume11
DOIs
Publication statusPublished - 2007

Keywords

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

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