Ideal structure of C∗-algebras associated with C∗-correspondences
Ideal structure of C∗-algebras associated with C∗-correspondences
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DOI：
10.2140/pjm.2007.230.107
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发表时间：
2003-09
影响因子：
0.6
通讯作者：
Takeshi Katsura
中科院分区：
文献类型：
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作者：
Takeshi Katsura
研究了由C*-对应产生的C*-代数的理想结构。我们证明了我们的C*-代数的规范不变理想是由原C*-代数的某些理想对参数化的。我们表明，我们的C*-代数有一个很好的性质，应该拥有一个广义的交叉产品。Hilbert C*-双模及其相关Cuntz交叉积的应用本文还讨论了Pimsner代数。
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.