论文标题

互惠基尔奇伯格代数

The Reciprocal Kirchberg Algebras

论文作者

Sogabe, Taro

论文摘要

对于具有有限生成的K组的两个Unital Kirchberg代数,我们引入了一种称为互惠性的属性,事实证明,该属性与Kirchberg代数的同义理论密切相关。我们显示了具有有限生成的K组的可分离核UCT C*代数捆绑的西班牙人 - 白头双重性,并得出结论,两个相互的Kirchberg代数具有相同的捆绑结构。

For two unital Kirchberg algebras with finitely generated K-groups, we introduce a property, called reciprocality, which is proved to be closely related to the homotopy theory of Kirchberg algebras. We show the Spanier--Whitehead duality for bundles of separable nuclear UCT C*-algebras with finitely generated K-groups and conclude that two reciprocal Kirchberg algebras share the same structure of their bundles.

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