Non-local games: operator algebraic approaches

Abstract: The study of non-local games has involved fruitful interactions between operator algebra theory and quantum physics, with a starting point the link between the Connes Embedding Problem and the Tsirelson Problem, uncovered by Junge et al (2011) and Ozawa (2013). Particular instances of non-local games, such as binary constraint system games and synchronous games, have played an important role in the pursuit of the resolution of these problems. In this talk, I will summarise part of the operator algebraic toolkit that has proved useful in the study of non-local games and of their perfect strategies, highlighting the role C*-algebras and operator systems play in their mathematical understanding.

operator algebras

Audience: researchers in the topic

UK Virtual operator algebras seminar

Series comments: Due to the Coronavirus crisis we have created an online seminar on the Zoom platform meeting fortnightly on Thursdays at 4pm. The Zoom coordinates are announced using our mailing list, please contact one of the seminar organisers to have your name added to the mailing list.

Our aim is to host talks which are more expository than a typical research talk might be. We plan to invite experts in their field to present introductions to their areas of research, expositions of key proof techniques or constructions, or perhaps sketching the background required to appreciate recent breakthroughs. We hope talks will be widely accessible to graduate students and postdocs, as well as established researchers.

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