Kaplan, Alexander On paving sequences in \(C^*\)-algebras. (English) Zbl 0712.46031 Proc. Am. Math. Soc. 110, No. 1, 159-168 (1990). 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 Keywords:tower; simple paving structure; Haagerup dual; paving sequence in a \(C^ *\)-algebra; UHF algebra; *-homomorphism PDFBibTeX XMLCite \textit{A. Kaplan}, Proc. Am. Math. Soc. 110, No. 1, 159--168 (1990; Zbl 0712.46031) Full Text: DOI