Volume 10 (2007)

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Classifying spaces of compact Lie groups that are p–compact for all prime numbers

Kenshi Ishiguro

Geometry & Topology Monographs 10 (2007) 195–211

DOI: 10.2140/gtm.2007.10.195

arXiv: 0903.4585

Abstract

We consider a problem on the conditions of a compact Lie group G that the loop space of the p–completed classifying space be a p–compact group for a set of primes. In particular, we discuss the classifying spaces BG that are p–compact for all primes when the groups are certain subgroups of simple Lie groups. A survey of the p–compactness of BG for a single prime is included.

Keywords

p–compact group, classifying space, p–completion, Lie group

Mathematical Subject Classification

Primary: 55R35

Secondary: 55P15, 55P60

References
Publication

Received: 3 June 2004
Revised: 14 February 2005
Published: 29 January 2007

Authors
Kenshi Ishiguro
Fukuoka University
Fukuoka 814-0180
Japan