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Kucerovsky, Dan; Ng, P. W.; Perera, Francesc

Purely infinite corona algebras of simple C\(^*\)-algebras. (English) Zbl 1192.46056

Math. Ann. 346, No. 1, 23-40 (2010).
The authors study the pure infiniteness problem for the corona algebra of a non-unital \(C^*\)-algebra. They find a connection between finite ideal structure and (non-simple) pure infiniteness, for coronas of certain \(C^*\)-algebras that have good behavior with respect to classifiability.
Reviewer: Sh. A. Ayupov (Tashkent)

Cited in 5 Documents

MSC:

46L35 Classifications of \(C^*\)-algebras
46L85 Noncommutative topology
46L05 General theory of \(C^*\)-algebras

Keywords:

\(C^*\)-algebras; corona algebras; pure infiniteness
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References:

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