Friday, June 24, 2016 — 3:30 PM EDT

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

MC 5403

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