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 …

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 …

Analogous to subfactor theory, employing Watatani's notions of index and C∗‐basic
construction of certain inclusions of C∗‐algebras,(a) we develop a Fourier theory (consisting …

We prove that a finite index regular inclusion of-factors with commutative first relative
commutant is always a crossed product subfactor with respect to a minimal action of a …

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 …

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 …

In this paper, we explicitly work out the subfactor planar algebra P (N⊂ Q) for an
intermediate subfactor N⊂ Q⊂ M of an irreducible subfactor N⊂ M of finite index. We do …

In this thesis we examine Pimsner-Popa bases which are not necessarily orthonormal (as in
the book of Jones and Sunder) for an inclusion of subfactors of finite Jones' index and …