Rasmus Bentmann

Address
Department of Mathematical Sciences
University of Copenhagen
Office 04.4.05
Universitetsparken 5
2100 Copenhagen Ø
Denmark

Work phone
+45 35320679

Email
mylastname(at)math.ku.dk

CV


I am a PhD-student at the Department of Mathematical Sciences of the University of Copenhagen since October 2010.

Member of the Non-Commutative Geometry group and the Centre for Symmetry and Deformation.

My scientific advisors are Søren Eilers and Ryszard Nest.

I am abroad (in Göttingen and at Purdue) during the period February - October 2012.


Research

An important tool in the classification theory of non-simple C*-algebras is a version of Kasparov's KK-theory for C*-algebras over non-Hausdorff spaces due to Eberhard Kirchberg. I am interested in finding K-theoretic invariants computing this equivariant KK-theory by means of a universal coefficient theorem. This problem depends sensitively on the acting space in question. Currently I am working out the construction of an adjunction comparing the resulting triangulated categories for certain pairs of finite spaces.

Writings

  • (with Sara Arklint and Takeshi Katsura) Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras
  • (with Manuel Köhler) Universal Coefficient Theorems for C*-Algebras over finite topological spaces. preprint
  • Filtrated K-Theory and Classification of C*-Algebras (Diplom thesis, University of Göttingen 2010) pdf-file

Teaching

  • 2010, Block 2: Introduction to operator algebras (IntroOpAlg).
  • 2010, Block 2: Non-commutative Geometry (Non-com Geo).
  • 2011, Block 1: Analysis 2 (An2).
  • 2011, Block 2: Measures and integrals (MI).