5 citations · 17 across the 24 of their papers we have counts for
26 papers
Regularity for Subfactors
Keshab Chandra Bakshi, Indrajit Ghosh
We study three naturally associated notions of regularity for a unital inclusion of von Neumann algebras : regularity, groupoid regularity, and u…
Structural and Dynamical Properties of Subfactor Commuting Squares
Keshab Chandra Bakshi, C. Silambarasan
This paper explores the algebraic invariants and ergodic behavior of the finite-index inclusions forming commuting squares of factors. We begin by establishing how re…
A Complete Characterization of Regular Inclusions of Finite Dimensional -algebras
Keshab Chandra Bakshi, Indrajit Ghosh, Sumit Kumar
We give a complete characterization of regular (in the sense of Kumjian and Renault) unital inclusions of finite-dimensional -algebras. For subalgebras $\bigoplus_j( \mathbb{M…
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…
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…
Unitary normalizers in finite-dimensional inclusions
Keshab Chandra Bakshi, Silambarasan C
We study regular inclusions of finite-dimensional von Neumann algebras from a matrix-theoretic perspective. To this end, we introduce a new combinatorial invariant of an inclusion,…
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…
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…
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.…
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…
Regular inclusions of simple unital -algebras
Keshab Chandra Bakshi, Ved Prakash Gupta
We prove that an inclusion of simple unital -algebras with a finite-index conditional expectation is regular if and only if there exists a fi…
Von Neumann entropy of the angle operator between a pair of intermediate subalgebras
Keshab Chandra Bakshi, Satyajit Guin, Biplab Pal
Given a pair of intermediate -subalgebras of a unital inclusion of simple -algebras with a conditional expectation of finite Watatani index, we discuss the corresponding…
Conjugate pairs of Hadamard subfactors and vertex models
Keshab Chandra Bakshi, Satyajit Guin, Guruprasad
We show that any two Hadamard subfactors arising from a pair of distinct complex Hadamard matrices of order 3 are either equal or conjugate by a unitary in the relative commutant o…
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…
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…
Relative position between a pair of spin model subfactors
Keshab Chandra Bakshi, Satyajit Guin
Jones proposed the study of two subfactors of a factor as a quantization of two closed subspaces in a Hilbert space. The Pimsner-Popa probabilistic constant, Sano-Watatani a…
Fourier theoretic inequalities for inclusion of simple C*-algebras
Keshab Chandra Bakshi, Satyajit Guin, Sruthymurali
This paper originates from a naive attempt to establish various non-commutative Fourier theoretic inequalities for an inclusion of simple C*-algebras equipped with a conditional ex…
Intermediate planar algebra revisited, II
Keshab Chandra Bakshi, Sruthymurali
We describe the subfactor planar algebra of an intermediate subfactor of an extremal subfactor of finite Jones index which is not necessarily ir…
A short note on relative entropy for a pair of intermediate subfactors
Keshab Chandra Bakshi
Given a quadruple of finite index subfactors we explicitly compute the Pimsner-Popa probabilistic constant for the pair of intermediate subfactors and relate it with the correspond…
A few remarks on Pimsner-Popa bases and regular subfactors of depth 2
Keshab Chandra Bakshi, Ved Prakash Gupta
We prove that a finite index regular inclusion of -factors with commutative first relative commutant is always a crossed product subfactor with respect to a minimal action of…
Commuting squares and planar subalgebras
Keshab Chandra Bakshi, Vijay Kodiyalam
We show a close relationship between non-degenerate smooth commuting squares of -factors with all inclusions of finite index and inclusions of subfactor planar algebras by sh…
On orthogonal systems, two-sided bases and regular subfactors
Keshab Chandra Bakshi, Ved Prakash Gupta
We prove that a regular subfator of type with finite Jones index always admits a two-sided Pimsner-Popa basis. This is preceeded by a pragmatic revisit of Popa's notion of o…
A note on irreducible quadrilaterals of factors
Keshab Chandra Bakshi, Ved Prakash Gupta
Given any finite index quadrilateral of -factors, the notions of interior and exterior angles between and were introduced in \cite{BDLR2017}. We determ…
An angle between intermediate subfactors and its rigidity
Keshab Chandra Bakshi, Sayan Das, Zhengwei Liu +1
We introduce a new notion of angle between intermediate subfactors and prove various interesting properties of the angle and relate it with the Jones' index. We prove a uniform 60…