August 18, 2024Open Access

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

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Abstract

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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Matsumoto et al. (Sun,) studied this question.

synapsesocial.com/papers/68e5bd48b6db643587555932 https://doi.org/https://doi.org/10.48550/arxiv.2408.09359

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