C*-algebras with stable rank one and tracial local homogeneity satisfy uniform property Γ, which implies they satisfy the Toms-Winter conjecture.
Nuclear C*-algebras: 99 problems
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abstract
We present a collection of questions related to the structure and classification of nuclear C*-algebras.
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math.OA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Stable rank one, tracial local homogeneity and uniform property $\Gamma$
C*-algebras with stable rank one and tracial local homogeneity satisfy uniform property Γ, which implies they satisfy the Toms-Winter conjecture.