2 papers
math.DS2025
Etale equivalence relations with certain prescribed torsion in their homology
Michael Francesco Ala, Hung-Chang Liao, Aaron Tikuisis
Given a non-cyclic simple dimension group D and a subgroup E of Q/Z, we produce a minimal étale equivalence relation R such that H_0(\R) is isomorphic to D \oplus E, where H_0(R) d…
math.OA2024
Uniform property and the small boundary property
Grigoris Kopsacheilis, Hung-Chang Liao, Aaron Tikuisis +1
We prove that, for a free action of a countably infinite discrete amenable group on a compact metric space, the small boundary property is implied by…