Xuanlong Fu

most citedTracial approximation in simple C*-algebras

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

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…

math.OA2020★ 1 cited

Tracial approximation in simple C*-algebras

Xuanlong Fu, Huaxin Lin

We revisit the notion of tracial approximation for unital simple C*-algebras. We show that a unital simple separable C*-algebra A is asymptotically tracially in the class of C*-alg…