43 citations · 228 across the 30 of their papers we have counts for
31 papers
The diagonal dimension of sub-C*-algebras
Kang Li, Hung-Chang Liao, Wilhelm Winter
We introduce diagonal dimension, a version of nuclear dimension for diagonal sub-C*-algebras (sometimes also referred to as diagonal C*-pairs). Our concept has good permanence prop…
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…
On tracial -stability of simple non-unital C*-algebras
Jorge Castillejos, Kang Li, Gabor Szabo
We investigate the notion of tracial -stability beyond unital C*-algebras, and we prove that this notion is equivalent to -stability in the class of separab…
Measured expanders
Kang Li, Ján Špakula, Jiawen Zhang
By measured graphs we mean graphs endowed with a measure on the set of vertices. In this context, we explore the relations between the appropriate Cheeger constant and Poincaré ine…
Measured asymptotic expanders and rigidity for Roe algebras
Kang Li, Ján Špakula, Jiawen Zhang
Our main result about rigidity of Roe algebras is the following: if and are metric spaces with bounded geometry such that their Roe algebras are -isomorphic, then an…
A Markovian and Roe-algebraic approach to asymptotic expansion in measure
Kang Li, Federico Vigolo, Jiawen Zhang
In this paper, we conduct further studies on geometric and analytic properties of asymptotic expansion in measure. More precisely, we develop a machinery of Markov expansion and ob…