6 papers · 1 filter
Quantum Gromov-Hausdorff Convergence for Extensions of -Algebras
Vibhor Bhatt, Satyajit Guin, Bipul Saurabh
We investigate the lifting of quantum Gromov-Hausdorff convergence through Toeplitz type -algebra extensions by stable ideals in the framework of noncommutative metric geometr…
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.…
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…
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…