Ideal structure of C*-algebras associated with C*-correspondences

• Autores: Takeshi Katsura
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 230, Nº 1, 2007, págs. 107-146
• Idioma: inglés
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• Resumen

  • We study the ideal structure of C*-algebras arising from C*-correspondences. We prove that gauge-invariant ideals of our C*-algebras are parameterized by certain pairs of ideals of original C*-algebras. We show that our C*-algebras have a nice property that should be possessed by a generalization of crossed products. Applications to crossed products by Hilbert C*-bimodules and relative Cuntz¿Pimsner algebras are also discussed.