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Subquotients of UHF \(C^*\)-algebras. (English) Zbl 0824.46069

Let \(B\) be a UHF \(C^*\)-algebra. In [J. Funct. Analysis 129, 1-34, 35-63 (1995)], E. Kirchberg has shown that in order for a \(C^*\)-algebra \(A\) to be exact, it is necessary and sufficient that \(A\) be isomorphic to some quotient of a \(C^*\)-subalgebra of \(B\).
In the present paper, the author provides a simplified and relatively self-contained exposition of the proof.

MSC:

46L35 Classifications of \(C^*\)-algebras
46L05 General theory of \(C^*\)-algebras
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References:

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