2 citations · 4 across the 6 of their papers we have counts for
6 papers
Divisibility and Real Rank Zero
Xuanlong Fu
Let be a simple separable exact -algebra that has traces. We show the following existed regularity properties are equivalent: \quad(1) has real rank zero…
From Stable Rank One to Real Rank Zero: A Note on Tracial Approximate Oscillation Zero
Xuanlong Fu
We present a relation between stable rank one and real rank zero via the method of tracial oscillation. Let be a simple separable -algebra of stable rank one. We show that…
Tracial oscillation zero and stable rank one
Xuanlong Fu, Huaxin Lin
Let be a separable (not necessarily unital) simple -algebra with strict comparison. We show that if has tracial approximate oscillation zero then has stable rank o…
Tracial approximate divisibility and stable rank one
Xuanlong Fu, Kang Li, Huaxin Lin
We show that every separable simple tracially approximately divisible -algebra has strict comparison, is either purely infinite, or has stable rank one. As a consequence, we s…
Non-amenable simple C*-algebras with tracial approximation
Xuanlong Fu, Huaxin Lin
We construct two types of unital separable simple -alebras and one is exact but not amenable, and the other is non-exact. Both have the same Elliott i…
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…