12 papers · 1 filter
Actions of quantum groups on dual operator spaces and their crossed products
Jason Crann, Joeri De Ro, Jacek Krajczok
We study the category of dual operator spaces equipped with an action of a locally compact quantum group . The Fubini crossed product functor $-\rtimes^\mathcal{F} \mat…
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…
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 algebraic…
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…
Orthogonal Unitary Bases and a Subfactor Conjecture
Jason Crann, David W. Kribs, Rajesh Pereira
We show that any finite dimensional von Neumann algebra admits an orthonormal unitary basis with respect to its standard trace. We also show that a finite dimensional von Neumann s…
A weak expectation property for operator modules, injectivity and amenable actions
Alex Bearden, Jason Crann
We introduce an equivariant version of the weak expectation property (WEP) at the level of operator modules over completely contractive Banach algebras . We prove a number of ge…