Blar i ODA Open Digital Archive på forfatter "Omland, Tron"

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    • 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 ...

    • Free nilpotent groups are C*-superrigid 

      Omland, Tron (Proceedings of the American Mathematical Society;Volume 148, Number 1, Journal article; Peer reviewed, 2019-07-09)
      The free nilpotent group Gm,n of class m and rank n is the free object on n generators in the category of nilpotent groups of class at most m. We show that Gm,n can be recovered from its reduced group C∗-algebra, in the ...

    • Rigidity theory for C*-dynamical systems and the "Pedersen rigidity problem", II 

      Kaliszewski, S.; Omland, Tron; Quigg, John (International Journal of Mathematics;Vol. 30, No. 08, Journal article; Peer reviewed, 2019-04-13)
      This is a follow-up to a paper with the same title and by the same authors. In that paper, all groups were assumed to be abelian, and we are now aiming to generalize the results to nonabelian groups. The motivating point ...