대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권3호
  • /
  • Pages.521-531
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

EXTREMALLY RICH GRAPH $C^*$-ALGEBRAS

  • Jeong, J.A (Mathematical Sciences Division Seoul National University)
  • 발행 : 2000.09.01
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초록

Graph C*-algebras C*(E) are the universal C*-algebras generated by partial isometries satisfying the Cuntz-Krieger relations determined by directed graphs E, and it is known that a simple graph C*-algebra is extremally rich in sense that it contains enough extreme consider a sufficient condition on a graph for which the associated graph algebra(possibly nonsimple) is extremally rich. We also present examples of nonextremally rich prime graph C*-algebras with finitely many ideals and with real rank zero.

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참고문헌

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