10 papers
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…
Gaussian quantum information over general quantum kinematical systems I: Gaussian states
Cedric Beny, Jason Crann, Hun Hee Lee +2
We develop a theory of Gaussian states over general quantum kinematical systems with finitely many degrees of freedom. The underlying phase space is described by a locally compact…
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…
Finite presentation, the local lifting property, and local approximation properties of operator modules
Jason Crann
We introduce notions of finite presentation and co-exactness which serve as qualitative and quantitative analogues of finite-dimensionality for operator modules over completely con…
Amenable dynamical systems over locally compact groups
Alex Bearden, Jason Crann
We establish several new characterizations of amenable - and -dynamical systems over arbitrary locally compact groups. In the -setting we show that amenability is eq…
State convertibility in the von Neumann algebra framework
Jason Crann, David W. Kribs, Rupert H. Levene +1
We establish a generalisation of the fundamental state convertibility theorem in quantum information to the context of bipartite quantum systems modelled by commuting semi-finite v…