Abstract
© 2017 by De Gruyter. p-local p-compact. In this paper we construct faithful representations of saturated fusion systems over discrete p-toral groups and use them to find conditions that guarantee the existence of unitary embeddings of p-local compact groups. These conditions hold for the Clark-Ewing and Aguadé-Zabrodsky p-compact groups. We also show the existence of unitary embeddings of finite loop spaces.
Original language | English |
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Pages (from-to) | 287-311 |
Journal | Forum Mathematicum |
Volume | 29 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Mar 2017 |
Keywords
- fusion system
- p-compact
- P-local