REAL RANK OF C¤-ALGEBRAS OF TYPE I

Sudo, Takahiro; Sudo, Takahiro

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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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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Article Contents

Vol.17 No.4

REAL RANK OF C¤-ALGEBRAS OF TYPE I

Abstract

Reference

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