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

Publications

  1. C*-irreducibility for reduced twisted group C*-algebras (with Erik Bedos), J. Funct. Anal., 284(5):109795, 31 pp., 2023. open access

  2. Deformation of Gabor frames on the adeles and other locally compact abelian groups (with Ulrik Enstad, Mads Jakobsen, and Franz Luef), Adv. Math., 410(B):108771, 46 pp., 2022. open access

  3. Rigidity theory for C*-dynamical systems and the "Pedersen rigidity problem", part II (with Steve Kaliszewski and John Quigg), Internat. J. Math., 30(8):1950038, 22 pp., 2019. pdf

  4. C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type (with Xin Li and Jack Spielberg), Comm. Math. Phys., 381:1263-1308, 2021. open access

  5. Free nilpotent groups are C*-superrigid, Proc. Amer. Math. Soc., 148(1):283-287, 2020. pdf

  6. C*-simplicity of HNN extensions and groups acting on trees (with Rasmus Bryder and Nikolay Ivanov); Ann. Inst. Fourier, 70(4):1497-1543, 2020. pdf

  7. Rigidity theory for C*-dynamical systems and the "Pedersen rigidity problem" (with Steve Kaliszewski and John Quigg), Internat. J. Math., 29(3):1850016, 18 pp., 2018. pdf

  8. T. Omland, Dynamical systems and operator algebras associated to Artin's representation of braid groups, J. Operator Theory, 83(1):55-72, 2020. pdf

  9. On reduced twisted group C*-algebras that are simple and/or have a unique trace (with Erik Bedos), J. Noncomm. Geom., 12(3):947-996, 2018. pdf

  10. C*-simplicity of free products with amalgamation and radical classes of groups (with Nikolay Ivanov), J. Funct. Anal., 272(9):3712-3741, 2017. pdf (updated version)

  11. How many Pythagorean triples with a given inradius?, J. Number Theory, 170:1-2, 2017.

  12. On the K-theory of C*-algebras arising from integral dynamics (with Selcuk Barlak and Nicolai Stammeier), Ergodic Theory Dynam. Systems, 38(3):832-862, 2018. pdf

  13. Dualities for maximal coactions (with Steve Kaliszewski and John Quigg), J. Aust. Math. Soc., 102(2):224-254, 2017. pdf

  14. Destabilization (with Steve Kaliszewski and John Quigg), Expo. Math., 34(1):62-81, 2016. pdf

  15. Three versions of categorical crossed-product duality (with Steve Kaliszewski and John Quigg), New York J. Math., 22:293-339, 2016. pdf

  16. On twisted group C*-algebras associated with FC-hypercentral groups and other related groups (with Erik Bedos), Ergodic Theory Dynam. Systems, 36(6):1743-1756, 2016. pdf

  17. C*-algebras generated by projective representations of free nilpotent groups, J. Operator Theory, 73(1):3-25, 2015. pdf (updated version)

  18. Cuntz-Li algebras from a-adic numbers (with Steve Kaliszewski and John Quigg), Rev. Roumaine Math. Pures Appl., 59(3):331-370, 2014. pdf (updated version)

  19. Primeness and primitivity conditions for twisted group C*-algebras, Math. Scand., 114(2):299-319, 2014. pdf (updated version)

  20. Primitivity of some full group C*-algebras (with Erik Bedos), Banach J. Math. Anal., 5(2):44-58, 2011. pdf

  21. The full group C*-algebra of the modular group is primitive (with Erik Bedos), Proc. Amer. Math. Soc., 140(4):1402-1411, 2012. pdf

Preprints

  • Pedersen rigidity for coactions of compact groups (with Steve Kaliszewski, John Quigg, and Jonathan Turk)

  • Permutation rotation-symmetric S-boxes, liftings and affine equivalence (with Pantelimon Stanica)

Conference proceedings

  • The Pedersen rigidity problem (with Steve Kaliszewski and John Quigg), Rev. Colombiana Mat., 53(supl.):237-244, 2019.

  • C*-algebras associated with a-adic numbers, in Operator Algebra and Dynamics, Springer Proc. Math. Stat., 58:223-238, 2013.

Theses

  • On the structure of certain C*-algebras arising from groups, doctoral thesis, NTNU. 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

  • Introduction to C*-algebras (with Nicolai Stammeier), University of Oslo, 2016. pdf