Realization of hyperbolic group C*-algebras as decreasing intersection   of Cuntz algebras O_2
  It is proved that for every ICC group which is embeddable into a hyperbolic group, the reduced group C*-algebra is realized as the intersection of a decreasing sequence of isomorphs of the Cuntz algebra O_2. The proof is based on the study of amenable quotients of the boundary actions. 
Yuhei Suzuki
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