Unitary embeddings of finite loop spaces

José Cantarero; Natàlia Castellana

doi:10.1515/forum-2015-0104

Unitary embeddings of finite loop spaces

José Cantarero, Natàlia Castellana

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

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
Pages (from-to)	287-311
Journal	Forum Mathematicum
Volume	29
Issue number	2
DOIs	https://doi.org/10.1515/forum-2015-0104
Publication status	Published - 1 Mar 2017

Keywords

fusion system
p-compact
P-local

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AB - © 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.

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