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

González, Alex¹

¹Einstein Institute of Mathematics, Hebrew University of Jerusalem, Edmond J Safra Campus, Givat Ram, 91904 Jerusalem, Israel

Algebraic and Geometric Topology, Tome 12 (2012) no. 2, pp. 867-908

Résumé

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.

Détail

DOI : 10.2140/agt.2012.12.867

Classification : 55R35, 20D20
Keywords: classifying space, unstable Adams operation, $p$–local compact group, compact Lie group

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