On C -algebras associated with C -correspondences
On C -algebras associated with C -correspondences
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DOI：
10.1016/j.jfa.2004.03.010
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发表时间：
2003-09
影响因子：
1.7
通讯作者：
Takeshi Katsura
中科院分区：
文献类型：
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作者：
Takeshi Katsura
本文研究了由作者引入的C_∞-对应所产生的C_∞-代数。我们证明了规范不变唯一性定理，并得到了我们的C-代数是核的，精确的，或满足泛系数定理的条件。我们还得到了一个涉及我们的C-代数的K-群的K-群的6项正合列。
We study C∗-algebras arising from C∗-correspondences, which were introduced by the author. We prove the gauge-invariant uniqueness theorem, and obtain conditions for our C∗-algebras to be nuclear, exact, or satisfy the Universal Coefficient Theorem. We also obtain a 6-term exact sequence of K-groups involving the K-groups of our C∗-algebras.