Zhichao Liu

activity

20172026

most citedOn the classification of C*-algebras of real rank zero, V

2 citations · 4 across the 14 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.FA2026

Every compact operator is a commutator of compact operators

Zhichao Liu

We prove that every compact operator $T$ on a separable infinite-dimensional complex Hilbert space is a commutator of two compact operators, thereby answering a question of Pearcy…

math.OA2026

Complexity rank one implies real rank zero

Qingnan An, Zhichao Liu

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

math.OA2026

Bockstein operations and AD algebras with unbounded torsion in $K_{1}$

Qingnan An, Zhichao Liu, Xin Ma

Eilers showed that for AD algebras of real rank zero with bounded torsion in $K_{1}$ , the coefficient transformations $κ$ are redundant in the classification by ordered scal…

Every compact operator is a commutator of compact operators

Complexity rank one implies real rank zero

Bockstein operations and AD algebras with unbounded torsion in K1​

Bockstein operations and AD algebras with unbounded torsion in $K_{1}$