Type I 𝐶*-algebras of real rank zero

Lin, Huaxin

doi:10.1090/S0002-9939-97-03890-2

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

Proc. Amer. Math. Soc. 125 (1997), 2671-2676

DOI: https://doi.org/10.1090/S0002-9939-97-03890-2

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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.

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