Blar i NTNU Open på forfatter "Nyland, Petter Kjeverud"

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    • Ample Groupoids and their Topological Full Groups 

      Nyland, Petter Kjeverud (Doctoral theses at NTNU;2020:292, Doctoral thesis, 2020)
      In this thesis we study the topological full group of an ample groupoid, with a particular focus on groupoids arising from directed graphs. We mainly address two aspects of the topological full group. The first is to what ...

    • Bratteli Diagrams - Modeling AF-algebras and Cantor Minimal Systems Using Infinite Graphs 

      Nyland, Petter Kjeverud (Master thesis, 2016)
      This thesis gives a thorough introduction to the infinite graphs known as Bratteli diagrams and their two most common uses - namely as a means of representing AF-algebras in a combinatorial way and as a way of modeling ...

    • Katsura–Exel–Pardo groupoids and the AH conjecture 

      Ortega Esparza, Eduardo; Nyland, Petter Kjeverud (Peer reviewed; Journal article, 2021)
      It is proven that Matui's AH conjecture is true for Katsura–Exel–Pardo groupoids 𝒢𝐴,𝐵 associated to integral matrices 𝐴 and 𝐵 . This conjecture relates the topological full group of an ample groupoid with the ...

    • 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 

      Ortega Esparza, Eduardo; Nyland, Petter Kjeverud (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 ...

    • 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 ...