Von Neumann entropy of the angle operator between a pair of intermediate subalgebras
Operator Algebras
2025-03-11 v1 Functional Analysis
Abstract
Given a pair of intermediate -subalgebras of a unital inclusion of simple -algebras with a conditional expectation of finite Watatani index, we discuss the corresponding angle operator and its Fourier transform. We provide a calculable formula for the von Neumann entropy of the (Fourier) dual angle operator for a large class of quadruple of simple -algebras.
Keywords
Cite
@article{arxiv.2401.01696,
title = {Von Neumann entropy of the angle operator between a pair of intermediate subalgebras},
author = {Keshab Chandra Bakshi and Satyajit Guin and Biplab Pal},
journal= {arXiv preprint arXiv:2401.01696},
year = {2025}
}