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Mathematics > Algebraic Topology

arXiv:1310.2848 (math)
[Submitted on 10 Oct 2013 (v1), last revised 9 Jun 2015 (this version, v2)]

Title:Unitary embeddings of finite loop spaces

Authors:José Cantarero, Natàlia Castellana
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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 Aguadé-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.
Comments: 29 pages, no figures. New Section 2 added. Section 6 corrected. Other small corrections and simplifications
Subjects: Algebraic Topology (math.AT); Group Theory (math.GR)
MSC classes: 55R35 (Primary), 20D20, 20C20 (Secondary)
Cite as: arXiv:1310.2848 [math.AT]
  (or arXiv:1310.2848v2 [math.AT] for this version)
  https://doi.org/10.48550/arXiv.1310.2848
Journal reference: Forum Math. 29 (2017), no. 2, 287-311
Related DOI: https://doi.org/10.1515/forum-2015-0104

Submission history

From: José María Cantarero López [view email]
[v1] Thu, 10 Oct 2013 15:08:09 UTC (27 KB)
[v2] Tue, 9 Jun 2015 16:54:06 UTC (30 KB)
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