Minimal ambient nuclear C*-algebras

Abstract

We provide examples of ambient nuclear C*-algebras of non-nuclear C*-algebras with no proper intermediate C*-algebras. In particular this gives the first examples of minimal ambient nuclear C*-algebras of non-nuclear C*-algebras. For this purpose, we study generic Cantor systems of infinite free product groups.

10 pages, minor modifications, Proposition 4.1 now holds for all C*-algebras, added some references

References in corpus (1)

• Boundaries of reduced C*-algebras of discrete groups

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