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Purely infinite C*-algebras of real rank zero

✍ Scribed by Pasnicu, Cornel; Rørdam, Mikael

Book ID: 118741230
Publisher: Walter de Gruyter GmbH & Co. KG
Year: 2007
Tongue: English
Weight: 219 KB
Volume: 2007
Category: Article
ISSN: 0075-4102
DOI: 10.1515/CRELLE.2007.091

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We show that a separable purely infinite C Ã -algebra is of real rank zero if and only if its primitive ideal space has a basis consisting of compact-open sets and the natural map K 0 ðI Þ ! K 0 ðI =JÞ is surjective for all closed two-sided ideals J H I in the C Ãalgebra. It follows in particular th

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