A pair of Hadamard matrices and subfactors
Organizers
Speaker
Keshab Chandra Bakshi
Time
Wednesday, March 19, 2025 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
Given a pair of inequivalent complex Hadamard matrices of order 4, we construct a potentially new class of infinite depth subfactors. We also examine `two subfactor theory' when the complex Hadamard matrices of order n are equivalent. We apply our results to explicitly construct the value of the corresponding relative entropy and angle operators between the spin model subfactors. Joint work with Satyajit Guin and Guruprasad.
References:
https://doi.org/10.1142/S0129167X2450071X (International Journal of Mathematics)
and
https://arxiv.org/abs/2401.01664
References:
https://doi.org/10.1142/S0129167X2450071X (International Journal of Mathematics)
and
https://arxiv.org/abs/2401.01664
Speaker Intro
I am an Assistant Professor in the Department of Mathematics and Statistics at Indian Institute of Technology, Kanpur (https://www.iitk.ac.in/math/). I have received my PhD from the Institute of Mathematical Sciences (HBNI) under the supervision of Prof. V. S. Sunder. I work with topics in C*-algebras and von Neumann algebras (more precisely, Jones' subfactor theory).