具有有限生成的 K 群的单元基希贝格代数的 K 理论不变式

arXiv - MATH - Operator Algebras Pub Date : 2024-08-18 DOI:arxiv-2408.09359

Kengo Matsumoto, Taro Sogabe

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引用次数: 0

摘要

我们为具有有限生成 K 群的基希贝格单原子代数引入了一种层次结构，通过这种层次结构，自变群的第 1 和第 2 同调群可作为分类的完全不变式。我们还给出了具有有限生成 K 群的单元基希贝格数组的完整不变量，并为 Cuntz--Kriegeralgebras 的分类提供了有用的工具。

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K-theoretic invariants for unital Kirchberg algebras with finitely generated K-groups

We introduce a hierarchy for unital Kirchberg algebras with finitely generated K-groups by which the 1st and 2nd homotopy groups of the automorphism groups serve as a complete invariant of classification. We also give a complete invariant specific to the case of unital Kirchberg algebras with finitely generated K-groups and provide a useful tool to classify the Cuntz--Krieger algebras.

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arXiv - MATH - Operator Algebras

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