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K-stability of Z-stable C*-algebras

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arxiv 2406.11084 v1 pith:GDCECGAZ submitted 2024-06-16 math.OA

Shanshan Hua This is my paper · ORCID
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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  1. Contractible Cuntz classes in $Z$-stable C$^*$-algebras

    math.OA 2024-12 conditional novelty 7.0 of 10

    For unital simple Z-stable C*-algebras, every non-compact Cuntz class is contractible, yielding the homotopy groups of all Cuntz classes.

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