Operator Algebra Seminar

Speaker: Adam Sørensen, University of Wollongong

Title: Nuclear dimension of UCT-Kirchberg algebras

Abstract: When Winter and Zacharias introduced nuclear dimension they showed that the Cuntz algebras have nuclear dimension 1. Recently, Tomforde, Ruiz and Sims adapted the techniques developed by Winter and Zacharias to show that all purely infinite graph algebras with finitely many ideals have nuclear dimension 1. We will explain these techniques and how they extend to 2-graph algebras. This will lets us show that certain tensor products of UCT-Kirchberg algebras have nuclear dimension 1. Combined with results of Enders and a direct limit argument we get that all UCT-Kirchberg algebras have nuclear dimension 1. 

This is joint work with Ruiz and Sims.