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

Alex González

Algebraic & Geometric Topology 12 (2012) 867–908

DOI: 10.2140/agt.2012.12.867
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

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