40 citations · 183 across the 41 of their papers we have counts for
42 papers
Discretisation and independent resolutions of ample groupoids
Xin Li, Alistair Miller
We develop a general framework for understanding and computing both the groupoid homology of an ample groupoid and the topological K-theory of its reduced C*-algebra, based on two…
Stable isomorphisms of operator algebras
Evgenios Kakariadis, Elias Katsoulis, Xin Li
Let $\A$ and $\B$ be operator algebras with -isomorphic diagonals and let $\K$ denote the compact operators. We show that if $\A\otimes\K$ and $\B\otimes\K$ are isometrically…
Algebraic actions II. Groupoid rigidity
Chris Bruce, Xin Li
We establish rigidity for partial transformation groupoids associated with algebraic actions of semigroups: If two such groupoids (satisfying appropriate conditions) are isomorphic…
Ample groupoids, topological full groups, algebraic K-theory spectra and infinite loop spaces
Xin Li
Inspired by work of Szymik and Wahl on the homology of Higman-Thompson groups, we establish a general connection between ample groupoids, topological full groups, algebraic K-theor…
Algebraic actions I. C*-algebras and groupoids
Chris Bruce, Xin Li
We provide a framework for studying concrete C*-algebras associated with algebraic actions of semigroups: Given such an action, we construct an inverse semigroup, and we introduce…
Constructing C*-diagonals in AH-algebras
Xin Li, Ali Imad Raad
We construct Cartan subalgebras and hence groupoid models for classes of AH-algebras. Our results cover all AH-algebras whose building blocks have base spaces of dimension at most…