17 citations · 91 across the 25 of their papers we have counts for
9 papers · 1 filter
Lattices of strongly reflexive masa-bimodules
Rupert H. Levene, Ying-Fen Lin, Ivan G. Todorov
We characterise the density of the positive rank one subspace of a masa-bimodule in terms of its support. We prove that strongly reflexive masa-bimodules form a Boolean lattice und…
Quantum teleportation in the commuting operator framework
Alexandre Conlon, Jason Crann, David W. Kribs +1
We introduce a notion of teleportation scheme between subalgebras of semi-finite von Neumann algebras in the commuting operator model of locality. Using techniques from subfactor t…
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…
Commutants of weighted shift directed graph operator algebras
David W. Kribs, Rupert H. Levene, Stephen C. Power
We consider non-selfadjoint operator algebras generated by weighted creation operators on the Fock-Hilbert spaces of countable directed graphs . These algebr…
Positive extensions of Schur multipliers
Rupert H. Levene, Ying-Fen Lin, Ivan G. Todorov
We introduce partially defined Schur multipliers and obtain necessary and sufficient conditions for the existence of extensions to fully defined positive Schur multipliers, in term…
Schur idempotents and hyperreflexivity
G. K. Eleftherakis, R. H. Levene, I. G. Todorov
We show that the set of Schur idempotents with hyperreflexive range is a Boolean lattice which contains all contractions. We establish a preservation result for sums which implies…
Schur multipliers of Cartan pairs
Rupert H. Levene, Nico Spronk, Ivan G. Todorov +1
We define the Schur multipliers of a separable von Neumann algebra M with Cartan masa A, generalising the classical Schur multipliers of . We characterise these as the n…
Compactness properties of operator multipliers
K. Juschenko, R. H. Levene, I. G. Todorov +1
We continue the study of multidimensional operator multipliers initiated in [arXiv:math/0701645]. We introduce the notion of the symbol of an operator multiplier. We characterise c…
On the topological stable rank of non-selfadjoint operator algebras
K. R. Davidson, R. Levene, L. W. Marcoux +1
We provide a negative solution to a question of M. Rieffel who asked if the right and left topological stable ranks of a Banach algebra must always agree. Our example is found amon…