☆ 4.5 Article

K-theoretic duality for extensions of Cuntz-Krieger algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2024)

THE COMPLETE CLASSIFICATION OF UNITAL GRAPH C*-ALGEBRAS: GEOMETRIC AND STRONG

Soren Eilers et al.

Summary: In our study of the classification problem for unital graph C*-algebras, we find that Morita equivalence is determined by ordered, filtered K-theory, and can be realized by a sequence of moves from one graph to another. Additionally, we prove that every (reduced, filtered) K-theory order isomorphism can be lifted to an isomorphism between the stabilized C*-algebras.

DUKE MATHEMATICAL JOURNAL (2021)

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