Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6826(e) ISSN 0002-9939(p)

Type I $C^*$ -algebras of real rank zero

Author(s): Huaxin Lin
Journal: Proc. Amer. Math. Soc. 125 (1997), 2671-2676.
MSC (1991): Primary 46L05
MathSciNet review: 1396987
Retrieve article in: PDF
This article is available free of charge

Abstract: We show that a separable $C^*$ -algebra $A$ of type I has real rank zero if and only if $d({\hat A})=0,$ where $d$ is a modified dimension. We also show that a separable $C^*$ -algebra of type I has real rank zero if and only if it is an AF-algebra.

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|