A construction of actions on Kirchberg algebras which induce given actions on their K-groups
Operator Algebras
2007-06-18 v2
Abstract
We 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.
Keywords
Cite
@article{arxiv.math/0608093,
title = {A construction of actions on Kirchberg algebras which induce given actions on their K-groups},
author = {Takeshi Katsura},
journal= {arXiv preprint arXiv:math/0608093},
year = {2007}
}
Comments
34 pages, Corrected typos