SATURATION OF C ∗ -ALGEBRAS

SATURATION OF C ∗ -ALGEBRAS
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C*-代数的饱和

DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
A. Vignati
A. Vignati
中科院分区：
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文献类型：
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作者：
Christopher J. Eagle;A. Vignati

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研究了几类C � -代数的饱和性质.法拉和哈特证明了饱和性，统一了酉C � -代数的冠的几个性质的证明;我们通过证明非酉C � -代数的某些冠是可数度1饱和的来推广他们的结果。然后，我们将交换C � -代数C（X）的饱和度与X的拓扑性质，特别是CL（X）的饱和度联系起来，其中X是0维的。
We study the saturation properties of several classes of C � -algebras. Saturation has been shown by Farah and Hart to unify the proofs of several properties of coronas of �-unital C � - algebras; we extend their results by showing that some coronas of non-�-unital C � -algebras are countably degree-1 saturated. We then relate saturation of the abelian C � -algebra C(X), where X is 0-dimensional, to topological properties of X, particularly the saturation of CL(X).