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# PhD Thesis Seminar

Friday, May 10, 2019 — 10:30 AM EDT

Samuel Harris, University of Waterloo

"The Brown operator system and unitary correlations"

In this talk we'll consider a certain universal C^*-algebra called the Brown algebra. We'll also consider the operator system spanned by the generators of this algebra (we call this the Brown operator system). While the Brown operator system is also universal in a certain sense, we'll see that it can be realized as an operator system quotient of the space M_{2n} of 2n \times 2n matrices. After connecting the Brown operator system to an important open problem in operator algebras (Connes' embedding problem), we'll start developing a theory of unitary correlation sets from states on tensor products of the Brown operator system.

MC 5403

### August 2020

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