대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제34권3호
  • /
  • Pages.395-401
  • /
  • 1997
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

Exponential rank of extensions of $C^*$-algebras

  • Jeong, Ja-A (Department of Mathematics, Kyung Hee University, Seoul 130-701) ;
  • Park, Gie-Hyun (Department of Mathematics, Hanshin University, Osan 447-791)
  • 발행 : 1997.08.01
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초록

We show that if I is an ideal of a $C^*$-algebra A such that the unitary group of I is connected then cer(A) $\leq$ cer(I) + cer(A/I), where cer(A) denotes the $C^*$-exponential rank of A.

키워드

참고문헌

  1. J. Funct. Anal. v.99 $C^*$­algebras of real rank zero L. G. Brown;G. K. Pedersen
  2. J. reine angew. v.469 On the geometry of the unit ball of a $C^*$ ­algebra L. G. Brown;G. K. Pedersen
  3. Inter. J. of Math. v.2 per Generalized Weylvon Neumann theorems H. Lin
  4. J. Funct. Anal. v.114 Exponential rank of $C^*$ ­algebras with real rank zero and BrownPedersen conjectures, H. Lin
  5. Math. Scand. v.77 Generalized Weylvon Neumann theorems (II) H. Lin
  6. Math. Scand. v.69 Simple $C^*$ ­algebras with the property weak (FU) N. C. Phillips
  7. Amer. Math. Soc. v.167 $C^*$ ­algebras: 19431993 A fifty year celebration, C ontemporary Math. N. C. Phillips
  8. UHF algebras have neither property (FS') nor exponential rank 1(preprint) N. C. Phillips
  9. Proc. London Math. Soc. v.46 Dimension and stable rank in the Ktheory of $C^*$ ­algebras M. A. Rieffel