Unitary embeddings of finite loop spaces-Reference-Cited by-同舟云学术

Unitary embeddings of finite loop spaces

Published:2017-03-01 Issue:2 Volume:29 Page:287-311
ISSN:1435-5337
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

Cantarero José¹,Castellana Natàlia²

Affiliation:

1. 1Consejo Nacional de Ciencia y Tecnología, Centro de Investigación en Matemáticas, A. C. Unidad Mérida, Parque Científico y Tecnológico de Yucatán, Carretera Sierra Papacal-Chuburná Km 5.5, Mérida, YUC 97302, Mexico

2. 2Departament de Matemàtiques, Universitat Autònoma de Barcelona, Edifici C, E-08193 Bellaterra, Spain

Abstract

AbstractIn 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2015-0104/pdf

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