3 papers
math.QA2025
On two notions of torsion and metric compatibility of connections in noncommutative geometry
Jyotishman Bhowmick, Bappa Ghosh, Satyajit Guin
We compare the notions of metric-compatibility and torsion of a connection in the frameworks of Beggs-Majid and Mesland-Rennie. It follows that for -preserving connections, c…
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.…