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arxiv: 2406.11084 · v1 · pith:GDCECGAZnew · submitted 2024-06-16 · 🧮 math.OA

K-stability of Z-stable C*-algebras

classification 🧮 math.OA
keywords algebrasz-stablek-stabilityalgebraconsequentlyfactjiang-suk1-surjective
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We provide a shorter new proof of the fact that Z-stable C*-algebras are K1-surjective using the R{\o}rdam-Winter picture of the Jiang-Su algebra Z. Consequently, we recapture the K-stability of Z-stable C*-algebras.

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