2 papers
math.OA2025
A panoramic view of groupoids and MRAs
Marius Ionescu, Paul S. Muhly
This sequel to \cite{im2008} uses groupoid technology to provide new proofs of the famous theorems of Mallat \cite[Theorem 1 and 2]{Mall_TAMS89} that extend to much broader context…
math.OA2025
Cohomology of ample groupoids
Valentin Deaconu, Marius Ionescu
We introduce a cochain complex for ample groupoids using a flat resolution defining their homology with coefficients in . We prove that the cohomology of th…