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math.OA2023
On Pimsner-Popa orthonormal basis and Popa's relative dimension of projections
Keshab Chandra Bakshi, Satyajit Guin
We show that any depth 2 subfactor with a simple first relative commutant has a unitary orthonormal basis. As a pleasant consequence, we produce new elements in the set of Popa's r…
math.OA2023
A few remarks on intermediate subalgebras of an inclusion of C*-algebras
Keshab Chandra Bakshi, Satyajit Guin, Debabrata Jana
We show that the angle between intermediate -subalgebras of an inclusion of simple -algebras with finite Watatani index is stable. The notion of angle is instrumental in…