Xuanlong Fu

activity

20202026

most citedTracial oscillation zero and stable rank one

2 citations · 4 across the 6 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.OA2021★ 2 cited

Tracial oscillation zero and stable rank one

Xuanlong Fu, Huaxin Lin

Let $A$ be a separable (not necessarily unital) simple $C^{*}$ -algebra with strict comparison. We show that if $A$ has tracial approximate oscillation zero then $A$ has stable rank o…

math.OA2021

Tracial approximate divisibility and stable rank one

Xuanlong Fu, Kang Li, Huaxin Lin

We show that every separable simple tracially approximately divisible $C^{*}$ -algebra has strict comparison, is either purely infinite, or has stable rank one. As a consequence, we s…

math.OA2021★ 1 cited

Non-amenable simple C*-algebras with tracial approximation

Xuanlong Fu, Huaxin Lin

We construct two types of unital separable simple $C^{*}$ -alebras $A_{z}^{C_{1}}$ and $A_{z}^{C_{2}},$ one is exact but not amenable, and the other is non-exact. Both have the same Elliott i…