## Tohoku Mathematical Journal 2011 December SECOND SERIES VOL. 63, NO. 4

 Tohoku Math. J. 63 (2011), 729-749

Title QUASI-FREE ACTIONS OF FINITE GROUPS ON THE CUNTZ ALGEBRA $\mathcal{O}_\infty$

Author Pavle Goldstein and Masaki Izumi

(Received November 18, 2010, revised May 20, 2011)
Abstract. We show that any faithful quasi-free actions of a finite group on the Cuntz algebra $\mathcal{O}_\infty$ are mutually conjugate, and that they are asymptotically representable.

2000 Mathematics Subject Classification. Primary 46L55; Secondary 46L35, 46L80.

Key words and phrases. Cuntz algebras, Kirchberg algebras, finite group actions, quasi-free actions.