论文标题

某些病理$ C^*$ - 代数的拓扑和框架特性

Topological and frame properties of certain pathological $C^*$-algebras

论文作者

Fufaev, Denis

论文摘要

我们介绍了有关$σ$ -COMPACT子集的行为的局部紧凑型Hausdorff拓扑空间的分类,并且依靠此分类,我们研究了框架理论的相应$ C^*$ - 代数的属性,而$ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Mathcal a $ - 组合的操作员在Hilbert $ c^*$ -odypact中的构造是构建的,某些病理学是某些病理学,某些病理学。

We introduce a classification of locally compact Hausdorff topological spaces with respect to the behavior of $σ$-compact subsets, and relying on this classification we study properties of corresponding $C^*$-algebras in terms of frame theory and the theory of $\mathcal A$-compact operators in Hilbert $C^*$-modules, some pathological examples are constructed.

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