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arxiv: 2506.10902 · v2 · submitted 2025-06-12 · 🧮 math.OA

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Nuclear C*-algebras: 99 problems

Aaron Tikuisis, Christopher Schafhauser, Stuart White

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classification 🧮 math.OA
keywords algebrasnuclearclassificationcollectionproblemsquestionsrelatedstructure
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We present a collection of questions related to the structure and classification of nuclear C*-algebras.

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  1. Stable rank one, tracial local homogeneity and uniform property $\Gamma$

    math.OA 2026-04 unverdicted novelty 5.0

    C*-algebras with stable rank one and tracial local homogeneity satisfy uniform property Γ, which implies they satisfy the Toms-Winter conjecture.