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ISSN : 1226-0657

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Vol.17 No.4
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REAL RANK OF C¤-ALGEBRAS OF TYPE I

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.4, pp.333-340
Sudo, Takahiro
Sudo,, T. (2010). REAL RANK OF C¤-ALGEBRAS OF TYPE I. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 17(4), 333-340.
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Abstract

We estimate the real rank of a composition series of closed ideals of a <TEX>$C^*$</TEX>-algebra such that its subquotients have continuous trace, which is equivalent to that the <TEX>$C^*$</TEX>-algebra is of type I.

keywords
<tex> $C^*$</tex>-algebra, real rank, type I

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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