REAL RANK OF C¤-ALGEBRAS OF TYPE I

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus)

Sudo, Takahiro. (2010). REAL RANK OF <TEX>$C^*$</TEX>-ALGEBRAS OF TYPE I. 한국수학교육학회지시리즈B:순수및응용수학, 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

참고문헌

Rieffel. (1983). . Proceedings of the London Mathematical Society, 46(2), 301-333. 10.1112/plms/s3-46.2.301.

(1987). . J. Operator Theory, 17, 237-254.

Sheu. (1987). . Canadian Journal of Mathematics, 39(2), 365-427. 10.4153/CJM-1987-018-7.

Sudo, T.. (2004). Stable rank of C<SUP>*</SUP>-algebras of type I. Linear Algebra and its Applications, 383, 65-76. 10.1016/j.laa.2003.10.010.

(1986). . J. Operator Theory, 16, 387-396.

(1987). . J. Operator Theory, 17, 365-373.

BEGGS. (1991). . International Journal of Mathematics, 2(2), 131-138. 10.1142/S0129167X91000089.

10.

BROWN. (1991). . Journal of Functional Analysis, 99(1), 131-149. 10.1016/0022-1236(91)90056-B.

11.

12.

(1995). . Proc. Amer. Math. Soc., 123, 3067-3073.

13.

14.

(2008). . Kyungpook Math. J., 48, 223-232.

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논문 상세

Vol.17 No.4

REAL RANK OF <TEX>$C^*$</TEX>-ALGEBRAS OF TYPE I

REAL RANK OF C¤-ALGEBRAS OF TYPE I

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학