Operator algebra seminar
Speaker: Francesca Arici (Nijmegen)
Title: Cuntz-Pimsner algebras, mapping cones and weighted lens spaces
Abstract: Cuntz-Pimsner algebras are universal C*-algebras associated to a C* correspondence and they encode dynamical information. In the case of a self Morita equivalence bimodule they can be thought of as total spaces of a noncommutative circle bundle. I will describe their relation with the mapping cone extension and the corresponding exact sequence. As an example, I will focus on a Cuntz-Pimsner model for quantum weighted lens spaces that allows one to compute their K-theory and K-homology groups.