11 citations · 55 across the 14 of their papers we have counts for
16 papers
On possible values of the interior angle between intermediate subalgebras
Ved Prakash Gupta, Deepika Sharma
We show that all values in the interval can be attained as the interior angle between intermediate subalgebras (as introduced in [3]) of a certain inclusion of simp…
On strong Arens irregularity of projective tensor product of Hilbert-Schmidt space
Ved Prakash Gupta, Lav Kumar Singh
It was shown in [16] that the Banach algebra is not Arens regular, where denotes the Banach algebra of the Hilbert-Schmidt opera…
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…
On closed Lie ideals and center of generalized group algebras
Ved Prakash Gupta, Ranjana Jain, Bharat Talwar
For any locally compact group and any Banach algebra , a characterization of the closed Lie ideals of the generalized group algebra is obtained in terms of left a…
Lattice of intermediate subalgebras
Keshab Chandra Bakshi, Ved Prakash Gupta
Analogous to subfactor theory, employing Watatani's notions of index and -basic construction of certain inclusions of -algebras, (a) we develop a Fourier theory (consisti…
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…
On Banach space projective tensor product of -algebras
Ved Prakash Gupta, Ranjana Jain
We analyze certain algebraic structures of the Banach space projective tensor product of -algebras which are comparable with their known counterparts or the Haagerup tensor pr…
On closed Lie ideals of certain tensor products of C*-algebras II
Ved Prakash Gupta, Ranjana Jain, Bharat Talwar
We identify all closed Lie ideals of and , where is either the Haagerup tensor product, the Banach space projective tensor product…
On closed Lie ideals of certain tensor products of -algebras
Ranjana Jain, Ved Prakash Gupta
For a simple -algebra and any other -algebra , it is proved that every closed ideal of is a product ideal if either is exact or is nuc…
The Functional Analysis of Quantum Information Theory
Ved Prakash Gupta, Prabha Mandayam, V. S. Sunder
This book is a compilation of notes from a two-week international workshop on the "The Functional Analysis of Quantum Information Theory" that was held at the Institute of Mathemat…
Operator System Nuclearity via -envelopes
Ved Prakash Gupta, Preeti Luthra
We prove that an operator system is (min, ess)-nuclear if its C*-envelope is nuclear. This allows us to deduce that an operator system associated to a generating set of countable d…
Drinfeld center of planar algebra
Paramita Das, Shamindra Kumar Ghosh, Ved Prakash Gupta
We introduce fusion, contragradient and braiding of Hilbert affine representations of a subfactor planar algebra (not necessarily having finite depth). We prove that if $N \sub…
Affine modules and the Drinfeld Center
Paramita Das, Shamindra Kumar Ghosh, Ved Prakash Gupta
Given a finite index subfactor, we show that the {\em affine morphisms at zero level} in the affine category over the planar algebra associated to the subfactor is isomorphic to th…
Perturbations of planar algebras
Paramita Das, Shamindra Kumar Ghosh, Ved Prakash Gupta
We analyze the effect of pivotal structures (on a 2-category) on the planar algebra associated to a 1-cell as in \cite{Gho08} and come up with the notion of {\em perturbations of p…
Planar Algebra of the Subgroup-Subfactor
Ved Prakash Gupta
We give an identification between the planar algebra of the subgroup-subfactor and the -invariant planar subalgebra of the planar algebra of th…