On Representations of C*-Algebras On, α of the Cuntz Type

Abstract

We show that Cuntz-type algebras O _{n, k}, n ≥ k ≥ 2, and O _{n, k + 1/2}, n ≥ 4, k ≥ 2, are *-wild (this implies that the description of all *-representations of these algebras is a very complicated problem).