• Matui’s AH Conjecture for Graph Groupoids 

      Ortega Esparza, Eduardo; Nyland, Petter Kjeverud (Peer reviewed; Journal article, 2021)
      We prove that Matui’s AH conjecture holds for graph groupoids of infinite graphs. This is a conjecture which relates the topological full group of an ample groupoid with the homology of the groupoid. Our main result ...
    • Topological full groups of ample groupoids with applications to graph algebras 

      Nyland, Petter Kjeverud; Ortega Esparza, Eduardo (Journal article; Peer reviewed, 2019)
      We study the topological full group of ample groupoids over locally compact spaces. We extend Matui’s definition of the topological full group from the compact to the locally compact case. We provide two general classes ...