3 papers
math.KT2026
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…
math.DS2026
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…
math.GR2024
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…