trono

Image of person
Could not get user data from external service

Academic interests

Functional analysis, operator algebras, C*-algebras, in particular C*-dynamical systems and crossed products by actions and coactions, group theory and projective representations of groups, and twisted group C*-algebras.

Background

I'm currently a postdoc at Department of Mathematics, University of Oslo, and hold a research fellowship through the Research Council of Norway. Previously I've been a Visiting Assistant Professor at Arizona State University, and have my PhD from NTNU. Here is my CV.

Teaching

Workshop

  • Facets of Irreversibility: Inverse Semigroups, Groupoids, and Operator Algebras, December 2017; more info here.

Awards

  • Personal post-doctoral research fellowship with the Research Council of Norway, 2015-2018, description.

Appointments

  • 2013-15: Visiting Assistant Professor, Arizona State University
  • 2015-18: Postdoctoral Fellow, University of Oslo

 

Tags: Mathematics, USA, Operator algebras

Publications

View all works in 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.

View all works in Cristin

Published Feb. 16, 2016 8:10 AM - Last modified Jan. 4, 2018 1:58 PM

Research groups