Research

These are my author profiles on arXiv and Google Scholar and ResearchGate and MathSciNet.

Publications
  1. S. Kaliszewski, T. Omland, J. Quigg, and J. Turk, Pedersen rigidity for coactions of compact groups, preprint. arxiv pdf
  2. E. Bedos and T. Omland, C*-irreducibility for reduced twisted group C*-algebras, J. Funct. Anal., 284(5):109795, 31 pp., 2023. arxiv MR doi open access
  3. T. Omland and P. Stanica, Permutation rotation-symmetric S-boxes, liftings and affine equivalence, preprint. arxiv
  4. U. Enstad, M. Jakobsen, F. Luef, and T. Omland, Deformations and Balian-Low theorems for Gabor frames on the adeles, Adv. Math., 410(B):108771, 46 pp., 2022. arxiv MR doi open access
  5. S. Kaliszewski, T. Omland, and J. Quigg, Rigidity theory for C*-dynamical systems and the “Pedersen rigidity problem”, II, Internat. J. Math., 30(8):1950038, 22 pp., 2019. arxiv MR doi pdf
  6. X. Li, T. Omland, and J. Spielberg, C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type, Comm. Math. Phys., 381(3):1263-1308, 2021. arxiv MR doi open access
  7. T. Omland, Free nilpotent groups are C*-superrigid, Proc. Amer. Math. Soc., 148(1):283-287, 2020. arxiv MR doi pdf
  8. R. Bryder, N. Ivanov, and T. Omland, C*-simplicity of HNN extensions and groups acting on trees, Ann. Inst. Fourier, 70(4):1497-1543, 2020. arxiv MR doi pdf
  9. S. Kaliszewski, T. Omland, and J. Quigg, Rigidity theory for C*-dynamical systems and the “Pedersen rigidity problem”, Internat. J. Math., 29(3):1850016, 18 pp., 2018. arxiv MR doi pdf
  10. T. Omland, Dynamical systems and operator algebras associated to Artin’s representation of braid groups, J. Operator Theory, 83(1):55-72, 2020. arxiv MR doi pdf
  11. E. Bedos and T. Omland, On reduced twisted group C*-algebras that are simple and/or have a unique trace. J. Noncomm. Geom., 12(3):947-996, 2018. arxiv doi MR pdf
  12. N. Ivanov and T. Omland, C*-simplicity of free products with amalgamation and radical classes of groups, J. Funct. Anal., 272(9):3712-3741, 2017. arxiv doi MR updated version
  13. T. Omland, How many Pythagorean triples with a given inradius?, J. Number Theory, 170:1-2, 2017. doi MR
  14. S. Barlak, T. Omland, and N. Stammeier, On the K-theory of C*-algebras arising from integral dynamics, Ergodic Theory Dynam. Systems, 38(3):832-862, 2018. arxiv doi MR pdf
  15. S. Kaliszewski, T. Omland, and J. Quigg, Dualities for maximal coactions, J. Aust. Math. Soc., 102(2):224-254, 2017. arxiv doi MR pdf
  16. S. Kaliszewski, T. Omland, and J. Quigg, Destabilization, Expo. Math., 34(1):62-81, 2016. arxiv doi MR pdf
  17. S. Kaliszewski, T. Omland, and J. Quigg, Three versions of categorical crossed-product duality, New York J. Math., 22:293-339, 2016. arxiv MR journal version pdf
  18. E. Bedos and T. Omland, On twisted group C*-algebras associated with FC-hypercentral groups and other related groups, Ergodic Theory Dynam. Systems, 36(6):1743-1756, 2016. arxiv doi MR pdf
  19. T. Omland, C*-algebras generated by projective representations of free nilpotent groups, J. Operator Theory, 73(1):3-25, 2015. arxiv doi MR updated version
  20. S. Kaliszewski, T. Omland, and J. Quigg, Cuntz-Li algebras from a-adic numbers, Rev. Roumaine Math. Pures Appl., 59(3):331-370, 2014. arxiv MR journal version newest version
  21. T. Omland, Primeness and primitivity conditions for twisted group C*-algebras, Math. Scand., 114(2):299-319, 2014. arxiv doi MR newest version
  22. E. Bedos and T. Omland, Primitivity of some full group C*-algebras, Banach J. Math. Anal., 5(2):44-58, 2011. arxiv doi MR pdf
  23. E. Bedos and T. Omland, The full group C*-algebra of the modular group is primitive, Proc. Amer. Math. Soc., 140(4):1402-1411, 2012. arxiv doi MR pdf
Conference proceedings
  • S. Kaliszewski, T. Omland, and J. Quigg, The Pedersen rigidity problem, Rev. Colombiana Mat., 53(supl.):237-244, 2019. MR doi pdf
  • T. Omland, C*-algebras associated with a-adic numbers, in Operator Algebra and Dynamics, Springer Proc. Math. Stat., 58:223-238, 2013. doi MR newest version
Theses
  • On the structure of certain C*-algebras arising from groups, doctoral thesis, NTNU. introduction trial lecture link
  • On primitivity and primeness of twisted group C*-algebras corresponding to discrete groups, master’s thesis, UiO.
Research Statements
  • Groups in quantum information theory, University of Oslo and Research Council of Norway, 2020. pdf
  • Structure of operator algebras from groups and dynamics, University of Oslo and Research Council of Norway, 2018. pdf
Lecture notes
  • T. Omland and N. Stammeier, Introduction to C*-algebras, University of Oslo, 2016. pdf