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math.OA2025
Higher reflections and entropy of canonical shifts for inclusions of -algebras with finite Watatani index
Keshab Chandra Bakshi, Satyajit Guin, Biplab Pal +1
Given a unital inclusion of simple -algebras equipped with a conditional expectation of index-finite type, we study Fourier transforms and rotation operators and introduce the…
math.OA2025
A noncommutative construction of families of biunitary matrices and application to subfactors
Keshab Chandra Bakshi, Satyajit Guin, Guruprasad
We introduce a construction that, given a pair (u,v) of complex Hadamard matrices of the same order, generates infinitely many biunitary matrices of varying (and distinct) orders.…
math.OA2025
Unitary orthonormal bases of finite dimensional inclusions
Keshab Chandra Bakshi, B V Rajarama Bhat
We study unitary orthonormal bases in the sense of Pimsner and Popa for inclusions where are finite dimensional…