43 citations · 228 across the 30 of their papers we have counts for
8 papers · 1 filter
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…
Dynamic asymptotic dimension for actions of virtually cyclic groups
Massoud Amini, Kang Li, Damian Sawicki +1
We show that the dynamic asymptotic dimension of a minimal free action of an infinite virtually cyclic group on a compact Hausdorff space is always one. This extends a well-known r…
Higher Kazhdan projections, -Betti numbers and Baum-Connes conjectures
Kang Li, Piotr W. Nowak, Sanaz Pooya
We introduce higher-dimensional analogs of Kazhdan projections in matrix algebras over group -algebras and Roe algebras. These projections are constructed in the framework of…
Asymptotic expansion in measure and strong ergodicity
Kang Li, Federico Vigolo, Jiawen Zhang
In this paper, we introduce and study a notion of asymptotic expansion in measure for measurable actions. This generalises expansion in measure and provides a new perspective on th…
The Haagerup property for twisted groupoid dynamical systems
Bartosz Kwaśniewski, Kang Li, Adam Skalski
We introduce the Haagerup property for twisted groupoid -dynamical systems in terms of naturally defined positive-definite operator-valued multipliers. By developing a version…