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Let be a -unital finite simple -algebra which has strict comparison property. We show that if the canonical map from the Cuntz semigroup to certain lower semi-continuous affine functions is surjective, then has tracial approximate oscillation zero and stable rank one. Equivalently, if has an almost unperforated and almost divisible Cuntz semigroup, then has stable rank one and tracial approximate oscillation zero.

生成讲解博客的中文版本

生成AI智能校验的中文版本