Inner conjugate pair of Hadamard subfactors and vertex model

KC Bakshi, S Guin - arXiv preprint arXiv:2401.01664, 2024 - arxiv.org
We show that any pair of Hadamard subfactors arising from complex Hadamard matrices of
order 3 are either equal or inner conjugate. If the pair of Hadamard subfactors are distinct …

On various notions of distance between subalgebras of operator algebras

VP Gupta, S Kumar - arXiv preprint arXiv:2403.05967, 2024 - arxiv.org
Given any irreducible inclusion $\mB\subset\mA $ of unital $ C^* $-algebras with a finite-
index conditional expectation $ E:\mA\to\mB $, we show that the set of $ E $-compatible …

Von Neumann entropy of the angle operator between a pair of intermediate subalgebras

KC Bakshi, S Guin, B Pal - arXiv preprint arXiv:2401.01696, 2024 - arxiv.org
Given a pair of intermediate $ C^* $-subalgebras of a unital inclusion of simple $ C^* $-
algebras with a conditional expectation of finite Watatani index, we discuss the …