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arXiv · 0903.4585

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

Kenshi Ishiguro
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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.

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Kenshi Ishiguro. 2009-03-26. Classifying spaces of compact Lie groups that are p-compact for all prime numbers. https://doi.org/10.2140/gtm.2007.10.195

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