Unitary embeddings of finite loop spaces
Algebraic Topology
2018-07-16 v2 Group Theory
Abstract
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 Aguad\'e-Zabrodsky p-compact groups as well as some exotic 3-local compact groups. We also show the existence of unitary embeddings of finite loop spaces.
Keywords
Cite
@article{arxiv.1310.2848,
title = {Unitary embeddings of finite loop spaces},
author = {José Cantarero and Natàlia Castellana},
journal= {arXiv preprint arXiv:1310.2848},
year = {2018}
}
Comments
29 pages, no figures. New Section 2 added. Section 6 corrected. Other small corrections and simplifications