Classification of quasi-free compact group actions on Cuntz algebras

Abstract

Quasi-free actions of finite groups on Cuntz algebras ${\mathcal{O}}_n$ for $n\ge 2$ are classified up to conjugacy by data in the representation ring. Partial results are obtained for quasi-free actions by compact groups.

3 pages. V2: Minor changes. This is the final version, to appear in Proceedings of the AMS