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Faglige interesser

Operatoralgebraer, spesielt C*-algebraer i tilknytning til dynamiske systemer og gruppeteori.

Bakgrunn

Jeg er postdoktor ved Matematisk Institutt med stipend fra Norges forskningsråd. Tidligere har jeg vært "Visiting Assistant Professor" i to år ved Arizona State University og har doktorgrad fra NTNU og mastergrad fra Universitetet i Oslo. Her er min CV.

Undervisning

Høst 2016: MAT4360 C*-algebraer

Konferanse

Desember 2017: Facets of Irreversibility: Inverse Semigroups, Groupoids, and Operator Algebras ved Universitetet i Oslo.

Priser

Personlig postdoktorstipend gjennom Norges forskningsråd, som er beskrevet her.

 

Emneord: USA, Matematikk, Operatoralgebraer

Publikasjoner

Se alle arbeider i Cristin

  • Omland, Tron (2018). C*-superrigidity for discrete groups.
  • Omland, Tron (2018). Free nilpotent groups are C*-superrigid.
  • Omland, Tron (2018). Review of "C*-algebras associated to graphs of groups" by Nathan Brownlowe, Alexander Mundey, David Pask, Jack Spielberg, and Anne Thomas. Mathematical Reviews.  ISSN 0025-5629.
  • Omland, Tron (2018). Review of "On just-infiniteness of locally finite groups and their C*-algebras" by V. Belyaev, R. Grigorchuk, and P. Shumyatsky. Mathematical Reviews.  ISSN 0025-5629.
  • Bryder, Rasmus Sylvester; Ivanov, Nikolay A. & Omland, Tron (2017). C*-simplicity of HNN extensions and groups acting on trees.
  • Omland, Tron (2017). C*-algebras arising from integral and rational dynamics.
  • Omland, Tron (2017). C*-simplicity and radical classes of groups.
  • Omland, Tron (2017). C*-simplicity and radical classes of groups.
  • Omland, Tron (2017). C*-simplicity for groups acting on trees.
  • Omland, Tron (2017). Review of "Self-similar graphs, a unified treatment of Katsura and Nekrashevych C*-algebras" by Ruy Exel and Enrique Pardo. Mathematical Reviews.  ISSN 0025-5629.
  • Omland, Tron (2017). Rigidity theory for C*-dynamical systems and the "Pedersen Rigidity Problem".
  • Omland, Tron (2016). C*-algebras arising from integral dynamics.
  • Omland, Tron (2016). C*-simplicity of free products with amalgamation and radical classes of groups.
  • Omland, Tron (2016). C*-simplicity of free products with amalgamation and radical classes of groups.
  • Omland, Tron (2016). Dynamical systems and operator algebras associated to Artin's representation of braid groups.
  • Omland, Tron (2016). Dynamical systems and operator algebras associated to Artin's representation of braid groups I.
  • Omland, Tron (2016). Dynamical systems and operator algebras associated to Artin's representation of braid groups II.
  • Omland, Tron (2016). Review of "Imprimitivity theorems for weakly proper actions of locally compact groups" by Alcides Buss and Siegfried Echterhoff. Mathematical Reviews.  ISSN 0025-5629.
  • Omland, Tron (2015). C*-algebras arising from integral dynamics.
  • Omland, Tron (2015). On the K-theory of certain Cuntz-Li algebras.
  • Omland, Tron (2015). Review of "Groupoid equivalence and the associated iterated crossed product" by Jonathan Henry Brown, Geoff Goehle, and Dana P. Williams. Mathematical Reviews.  ISSN 0025-5629.
  • Omland, Tron (2015). Review of "On certain multiplier projections" by Henning Petzka. Mathematical Reviews.  ISSN 0025-5629.
  • Omland, Tron (2015). Review of "Property T and amenable transformation group C*-algebras" by F. Kamalov. Mathematical Reviews.  ISSN 0025-5629.
  • Omland, Tron (2014). On simplicity and uniqueness of trace for reduced twisted group C*-algebras.
  • Omland, Tron (2014). Simple reduced twisted group C*-algebras with unique trace.
  • Omland, Tron (2013). Cuntz-Li algebras from a-adic numbers.
  • Omland, Tron Ånen (2013). On the structure of certain C*-algebras arising from groups. Doktoravhandlinger ved NTNU. 159.

Se alle arbeider i Cristin

Publisert 16. feb. 2016 08:10 - Sist endret 4. jan. 2018 14:03

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