A class of C*-algebras generalizing both graph algebras and homeomorphism C*-algebras III, ideal structures

研究成果: Article査読

32 被引用数 (Scopus)

抄録

We investigate the ideal structures of the C*-algebras arising from topological graphs. We give a complete description of ideals of such C*-algebras that are invariant under the so-called gauge action, and give a condition on topological graphs so that all ideals are invariant under the gauge action. We get conditions for our C*-algebras to be simple, prime or primitive. We completely determine the prime ideals, and show that most of them are primitive. Finally, we construct a discrete graph for which the associated C*-algebra is prime but not primitive.

本文言語English
ページ(範囲)1805-1854
ページ数50
ジャーナルErgodic Theory and Dynamical Systems
26
6
DOI
出版ステータスPublished - 2006 12
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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