• C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type 

      Li, Xin; Omland, Tron; Spielberg, Jack (Communications in Mathematical Physics;volume 381, issue 3, Peer reviewed; Journal article, 2020-05-23)
      WestudyC*-algebrasgeneratedbyleftregularrepresentationsofrightLCM one-relator monoids and Artin–Tits monoids of finite type. We obtain structural results concerning nuclearity, ideal structure and pure infiniteness. Moreover, ...
    • C*-simplicity of HNN extensions and groups acting on trees 

      Bryder, Rasmus Sylvester; Ivanov, Nikolay A.; Omland, Tron (Annales de l'Institut Fourier;volume 70, issue 4, Peer reviewed; Journal article, 2021-04-15)
      We study non-ascending HNN extensions acting on their Bass– Serre tree and characterize C∗-simplicity and the unique trace property by means of the kernel and quasi-kernels of the HNN extension in question. We also present ...