K-stability of 𝒵-stable C*-algebras

We provide a shorter new proof of the fact that [Formula: see text]-stable C*-algebras are [Formula: see text]-surjective using the Rørdam-Winter picture of the Jiang–Su algebra [Formula: see text]. Consequently, we recapture the [Formula: see text]-stability of [Formula: see text]-stable C*-algebras.

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Publication Details

Journal
International Journal of Mathematics
Published
2025-05-20
DOI
https://doi.org/10.1142/s0129167x25500223
Primary Topic
Advanced Operator Algebra Research
Type
article
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article

K-stability of 𝒵-stable C*-algebras

Shanshan Hua
International Journal of Mathematics
Advanced Operator Algebra Research
article

K-stability of 𝒵-stable C*-algebras

Shanshan Hua
article en

Abstract

We provide a shorter new proof of the fact that [Formula: see text]-stable C*-algebras are [Formula: see text]-surjective using the Rørdam-Winter picture of the Jiang–Su algebra [Formula: see text]. Consequently, we recapture the [Formula: see text]-stability of [Formula: see text]-stable C*-algebras.

International Journal of MathematicsVol. 36(09)
University of Oxford (GB)
Openalex Percentile: Top 84%
Advanced Operator Algebra Research
DOISourceOpenAlex
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K-stability of 𝒵-stable C*-algebras — Shanshan Hua · International Journal of Mathematics (2025) | TGRS Research Map | TGRS