7 citations · 13 across the 5 of their papers we have counts for
6 papers
Exotic Unit Groups of Sylvester Rank Completions
Baojie Jiang
Let \(R\) be any unital ring equipped with a Sylvester matrix rank function, and let \(Q\) be the rank completion of the matrix system defined by block-diagonal embeddings along a…
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…
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…
Sylvester rank functions for amenable normal extensions
Baojie Jiang, Hanfeng Li
We introduce a notion of amenable normal extension S of a unital ring R with a finite approximation system F, encompassing the amenable algebras over a field of Gromov and Elek, th…
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…
Property of reduced -crossed products by discrete groups
Baojie Jiang, Chi-Keung Ng
We generalize the main result of Kamalov and show that if is an amenable discrete group with an action on a finite nuclear unital -algebra such that the reduced cr…