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arXiv · 2608.12089

Complexity rank one implies real rank zero

Qingnan An·Zhichao Liu
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Abstract

We show that $C^*$-algebras with complexity rank one have real rank zero, as an application, the uniform Roe algebra $C_u^*|\mathbb{Z}|$ has real rank zero.

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Qingnan An, Zhichao Liu. 2026-08-12. Complexity rank one implies real rank zero. https://arxiv.org/abs/2608.12089

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