A construction of actions on Kirchberg algebras which induce given actions on their K-groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131848We prove that every action of a finite group all of whose Sylow subgroups are cyclic on the K-theory of a Kirchberg algebra can be lifted to an action on the Kirchberg algebra. The proof uses a construction of Kirchberg algebras generalizing the one of Cuntz-Krieger algebras, and a result on modules over finite groups. As a corollary, every automorphism of the K-theory of a Kirchberg algebra can be lifted to an automorphism of the Kirchberg algebra with same order.34 pages, Corrected typosOperator AlgebrasPrimary 46L55; Secondary 46L40, 46L80A construction of actions on Kirchberg algebras which induce given actions on their K-groupstext