✦ LIBER ✦

C*-Algebras with Weak (FN)

✍ Scribed by Huaxin Lin

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 294 KB
Volume: 150
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1997.3112

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✦ Synopsis

Let A be a simple C*-algebra of real rank zero and stable rank one. We show that, for any normal element x # A with

there is a sequence of normal elements x n # A with finite spectra such that x= lim n Ä

x n .

We show this for more general C*-algebras. We also point out that the condition that A is simple cannot be removed.

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