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

González, Alex

doi:10.2140/agt.2012.12.867

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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 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

Volume 12, issue 2 (2012)