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arXiv · 1406.2740

Realization of hyperbolic group C*-algebras as decreasing intersection of Cuntz algebras O_2

Yuhei Suzuki
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Abstract

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.

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Yuhei Suzuki. 2014-06-10. Realization of hyperbolic group C*-algebras as decreasing intersection of Cuntz algebras O_2. https://arxiv.org/abs/1406.2740

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