XXXIX Workshop on Geometric Methods in Physics | 19.06–25.06.2022 |
XI School on Geometry and Physics | 27.06–1.07.2022 |
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Paweł KasprzakQuantum correlations on quantum spaces: RFD, LP, HR and SEPIn the theory of operator algebras the concepts of residual finite dimensional (RFD) and lifting property (LP) are well known and often studied: e.g. the universal C*-algebra $C^*(F_2)$ of a free group on two generators is RFD and has LP. Hyperrigidity (HR) in turn refers to a position of an operator system $S$ in a C*-algebra A: for example position of the canonical generating operator system $S$ inside $C^*(F_2)$ is HR. In my talk I will explain how RFD, LP and HR arise in the theory of quantum correlations (QC). Moreover I will introduce yet another property which we call SEP (Strong Extension Property) and explain its role in the theory of QC. |
Event sponsored by: | |||||
University of Bialystok |