Unstable Adams operations acting on $p$–local compact groups and fixed points

Alex González

doi:10.2140/agt.2012.12.867

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Home > Journals > Algebr. Geom. Topol. > Volume 12 > Issue 2 > Article

2012 Unstable Adams operations acting on $p$–local compact groups and fixed points

Alex González

Algebr. Geom. Topol. 12(2): 867-908 (2012). DOI: 10.2140/agt.2012.12.867

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Abstract

We prove that every $p$ –local compact group is approximated by transporter systems over finite $p$ –groups. To do so, we use unstable Adams operations acting on a given $p$ –local compact group and study the structure of resulting fixed points.

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Alex González. "Unstable Adams operations acting on $p$–local compact groups and fixed points." Algebr. Geom. Topol. 12 (2) 867 - 908, 2012. https://doi.org/10.2140/agt.2012.12.867

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Received: 20 April 2011; Revised: 9 January 2012; Accepted: 14 January 2012; Published: 2012

First available in Project Euclid: 19 December 2017

zbMATH: 1259.55005

MathSciNet: MR2914621

Digital Object Identifier: 10.2140/agt.2012.12.867

Subjects:

Primary: 55R35

Secondary: 20D20

Keywords: $p$–local compact group , classifying space , compact Lie group , unstable Adams operation

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Alex González "Unstable Adams operations acting on $p$–local compact groups and fixed points," Algebraic & Geometric Topology, Algebr. Geom. Topol. 12(2), 867-908, (2012)

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