3 papers
math.RA2026
Uniqueness of Rank-Metric Completions of Bratteli Systems
Baojie Jiang
Let be a unital ring equipped with a Sylvester matrix rank function $\rk$. A harmonic function on a Bratteli diagram defines a weighted matrix rank on the associated al…
math.OA2023
Rigidity for geometric ideals in uniform Roe algebras
Baojie Jiang, Jiawen Zhang
In this paper, we investigate the rigidity problems for geometric ideals in uniform Roe algebras associated to discrete metric spaces of bounded geometry. These ideals were introdu…
math.DG2018
Additive higher rho invariant for structure group in differential point of view
Baojie Jiang, Hongzhi Liu
In this paper, we adapt part of Weinberger, Xie and Yu's breakthrough work, to define additive higher rho invariant for topological structure group by differential geometric versio…