It is shown that Voiculescu's topological entropy for the canonical endomorphism of a simple Cuntz-Krieger algebra O A equals the logarithm of the spectral radius of A.

We show that any faithful quasi-free actions of a finite group on the Cuntz algebra O ∞ are mutually conjugate, and that they are asymptotically representable.

No abstract

Certain C -algebras on generators and relations are associated to directed graphs. For a finite graph P, C*-algebra 6? is canonically isomorphic to Cuntz-Krieger algebra corresponding to the adjacency matrix of I\ It is shown that if a countably infinite graph Y is strongly connected, C? is simple and purely infinite.2000 Mathematics subject classification: primary 46L05,46L35.