XXXIX Workshop on Geometric Methods in Physics 19.06–25.06.2022
XI School on Geometry and Physics 27.06–1.07.2022

Paweł Kasprzak


Quantum correlations on quantum spaces: RFD, LP, HR and SEP


In 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
University of Bialystok






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