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math.OA2026

Regular diagonal subfactors

Keshab Chandra Bakshi, Ved Prakash Gupta, Guruprasad +1

We show that a diagonal subfactor arising from a finite family of automorphisms of a -factor is regular precisely when the classes of the defining automorphisms occur wit…

math.OA2026

Regular irreducible inclusions of simple -algebras and crossed product structure

Keshab Chandra Bakshi, Silambarasan C, Biplab Pal

We study regular irreducible inclusions of simple unital -algebras admitting a conditional expectation. We introduce a generalized notion of quasi-basis extending…

math.OA2026

Weak quantum hypergroups from finite index C*-inclusions

Keshab Chandra Bakshi, Debashish Goswami, Biplab Pal

We study a finite index inclusion of simple unital C*-algebras and construct a canonical completely positive coproduct on the second relative commutant, thereby endowing it with a…

math.OA2025

Depth 2 inclusions of simple -algebras and their weak -Hopf algebra symmetries

Biplab Pal

Let be a depth inclusion of simple unital -algebras with a conditional expectation of index-finite type. We show that the second relative commutant $B' \cap…

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…