Orthogonal unitary bases and a subfactor conjecture
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 …
basis with respect to its standard trace. We also show that a finite dimensional von Neumann …
Relative position between a pair of spin model subfactors
Jones proposed the study of two subfactors of a $ II_1 $ factor as a quantization of two
closed subspaces in a Hilbert space. The Pimsner-Popa probabilistic constant, Sano …
closed subspaces in a Hilbert space. The Pimsner-Popa probabilistic constant, Sano …
Quantum teleportation in the commuting operator framework
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 …
Neumann algebras in the commuting operator model of locality. Using techniques from …
Regular inclusions of simple unital -algebras
We prove that an inclusion $\mathcal {B}\subset\mathcal {A} $ of simple unital $ C^* $-
algebras with a finite-index conditional expectation is regular if and only if there exists a …
algebras with a finite-index conditional expectation is regular if and only if there exists a …
On Pimsner-Popa orthonormal basis and Popa's relative dimension of projections
We show that any depth 2 subfactor with a simple first relative commutant has a unitary
orthonormal basis. As a pleasant consequence, we produce new elements in the set of …
orthonormal basis. As a pleasant consequence, we produce new elements in the set of …
[引用][C] A Family of Subfactors Arising from a pair of Complex Hadamard Matrices
We define a new equivalence relation '∼'on the set of all Hadamard inequivalent complex
Hadamard matrices of order 4 and show that pairs (u, v) of equivalent matrices u∼ v …
Hadamard matrices of order 4 and show that pairs (u, v) of equivalent matrices u∼ v …