Sam Harris, Department of Pure Mathematics, University of Waterloo
“A Free Unitary Analogue of Kirchberg’s Conjecture”
In this talk we will explore properties of the universal C*-algebra Unc(n) whose generators form an n × n unitary matrix. We will use the recent theory of operator system quotients to show that Unc(n) is the C*-envelope of the operator system Vn spanned by the generators of Unc(n). We will provide necessary and sufficient conditions on the operator system Vn for Kirchberg’s conjecture to be valid.
* Joint work with Vern Paulsen