4 papers
A Banach algebra encoding quantum group duality
Jason Crann, Matthias Neufang
We introduce and study a new Banach algebra structure on the trace-zero subspace of trace class operators for any locally compact quantum group $\m…
An operator system approach to self-testing
Jason Crann, Ivan G. Todorov, Lyudmila Turowska
We develop a general framework for self-testing, in which bipartite correlations are described by states on the commuting tensor product of a pair of operator systems. We propose a…
Fejér representations for discrete quantum groups and applications
Jason Crann, Soroush Kazemi, Matthias Neufang
We prove that a discrete quantum group has the approximation property if and only if a Fejér-type representation holds for its -algebraic or von Neumann algebrai…
Algebraic approach to spacetime bulk reconstruction
Jason Crann, Monica Jinwoo Kang
Motivated by the theory of holographic quantum error correction in the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, together with the kink transform conjecture o…