• 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 ...
    • Rational Noncommutative Tori and Gabor Frames 

      Enstad, Ulrik Bo Rufus (Master thesis, 2016)
      A link between noncommutative geometry and time-frequency analysis is used to show that the TKNN equation violates existence results for Gabor frames with atoms in the Schwartz space. In particular, we use that the Schwartz ...
    • Triangulated Categories and Matrix Factorizations 

      Langfeldt, Marit Buset (Master thesis, 2016)
      In this thesis we study triangulated categories and look at one specific example, the homotopy category of matrix factorizations. First we define categories and functors. Then we introduce additive and triangulated categories ...