PhD Thesis Seminar

"Unitary correlation sets"

Last week we looked at the Brown algebra and the Brown operator system and how they relate to Connes' embedding problem. In this talk, we'll look at "unitary correlations" associated to states on tensor products of the Brown algebra. We'll look at the properties of these correlation sets, and obtain a Tsirelson-like problem that is also equivalent to Connes' embedding problem (and hence Tsirelson's problem itself). We'll also see where embezzlement of entanglement plays a part in separating certain unitary correlation sets.