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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Unstable Adams operations acting on $p$–local compact groups and fixed points

Alex González

Algebraic & Geometric Topology 12 (2012) 867–908
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.

Keywords
classifying space, unstable Adams operation, $p$–local compact group, compact Lie group
Mathematical Subject Classification 2010
Primary: 55R35
Secondary: 20D20
References
Publication
Received: 20 April 2011
Revised: 9 January 2012
Accepted: 14 January 2012
Published: 17 April 2012
Authors
Alex González
Einstein Institute of Mathematics
Hebrew University of Jerusalem
Edmond J Safra Campus
Givat Ram
91904 Jerusalem
Israel