These are my author profiles on arXiv and Google Scholar and ResearchGate and MathSciNet.
Publications
- S. Kaliszewski, T. Omland, J. Quigg, and J. Turk, Pedersen rigidity for coactions of compact groups, preprint. arxiv pdf
- 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
- T. Omland and P. Stanica, Permutation rotation-symmetric S-boxes, liftings and affine equivalence, preprint. arxiv
- 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
- 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
- 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
- T. Omland, Free nilpotent groups are C*-superrigid, Proc. Amer. Math. Soc., 148(1):283-287, 2020. arxiv MR doi pdf
- 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
- 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
- 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
- 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
- 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
- T. Omland, How many Pythagorean triples with a given inradius?, J. Number Theory, 170:1-2, 2017. doi MR
- 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
- S. Kaliszewski, T. Omland, and J. Quigg, Dualities for maximal coactions, J. Aust. Math. Soc., 102(2):224-254, 2017. arxiv doi MR pdf
- S. Kaliszewski, T. Omland, and J. Quigg, Destabilization, Expo. Math., 34(1):62-81, 2016. arxiv doi MR pdf
- 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
- 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
- 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
- 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
- T. Omland, Primeness and primitivity conditions for twisted group C*-algebras, Math. Scand., 114(2):299-319, 2014. arxiv doi MR newest version
- 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
- 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