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