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On paving sequences in \(C^*\)-algebras. (English) Zbl 0712.46031

The author introduces the notion of a paving sequence in a \(C^*\)- algebra. A UHF algebra has such a sequence. It is shown that a \(C^*\)- algebra with a paving sequence is simple and in the unital case it is nuclear. It is also shown that under certain conditions, a correspondence between paving sequences of two \(C^*\)-algebras induces a *-homomorphism between them.
Reviewer: Cho-ho Chu

MSC:

46L05 General theory of \(C^*\)-algebras
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