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, Strong Pedersen rigidity for coactions of compact groups, Internat. J. Math., 34(13):2350083, 13 pp., 2023. arxiv MR doi 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. 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
  4. 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
  5. 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
  6. T. Omland, Free nilpotent groups are C*-superrigid, Proc. Amer. Math. Soc., 148(1):283-287, 2020. arxiv MR doi pdf
  7. 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
  8. 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
  9. 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
  10. 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 MR doi pdf
  11. 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 MR doi updated version
  12. T. Omland, How many Pythagorean triples with a given inradius?, J. Number Theory, 170:1-2, 2017. MR doi
  13. 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 MR doi pdf
  14. S. Kaliszewski, T. Omland, and J. Quigg, Dualities for maximal coactions, J. Aust. Math. Soc., 102(2):224-254, 2017. arxiv MR doi pdf
  15. S. Kaliszewski, T. Omland, and J. Quigg, Destabilization, Expo. Math., 34(1):62-81, 2016. arxiv MR doi pdf
  16. 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
  17. 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 MR doi pdf
  18. T. Omland, C*-algebras generated by projective representations of free nilpotent groups, J. Operator Theory, 73(1):3-25, 2015. arxiv MR doi updated version
  19. 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
  20. T. Omland, Primeness and primitivity conditions for twisted group C*-algebras, Math. Scand., 114(2):299-319, 2014. arxiv MR doi newest version
  21. E. Bedos and T. Omland, Primitivity of some full group C*-algebras, Banach J. Math. Anal., 5(2):44-58, 2011. arxiv MR doi pdf
  22. 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 MR doi pdf
Preprints
  • K. Aguilar, K. Behera, T. Omland, and N. Wu, On the Bures metric, C*-norm, and the quantum metric, preprint. arxiv
  • T. Omland and P. Stanica, Permutation rotation-symmetric S-boxes, liftings and affine equivalence, preprint. arxiv
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. MR doi newest version

Notes

  • T. Omland, Commutation identities for functions of operators with central commutators, 2025. pdf
Theses
  • On the structure of certain C*-algebras arising from groups, doctoral thesis, NTNU. introduction 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