13 citations · 31 across the 7 of their papers we have counts for
10 papers · 1 filter
Positivstellensatz for C*-tensor categories
Kajal Das, Mainak Ghosh, Shamindra Ghosh
We explore semi-pre-C*-algebras in the context of rigid semisimple C*-tensor categories and using techniques from annular representations, we extend Ozawa's criterion for property…
Unitary connections on Bratteli diagrams
Paramita Das, Mainak Ghosh, Shamindra Ghosh +1
In this paper, we extend Ocneanu's theory of connections on graphs to define a 2-category whose 0-cells are tracial Bratteli diagrams, and whose 1-cells are generalizations of unit…
Free oriented extensions of subfactor planar algebras
Shamindra Kumar Ghosh, Corey Jones, B Madhav Reddy
We show that the restriction functor from oriented factor planar algebras to subfactor planar algebras admits a left adjoint, which we call the free oriented extension functor. We…
Annular Representations of Free Product Categories
Shamindra Kumar Ghosh, Corey Jones, B Madhav Reddy
We provide a description of the annular representation category of the free product of two rigid C*-tensor categories.
Tube representations and twisting of graded categories
Jyotishman Bhowmick, Shamindra Ghosh, Narayan Rakshit +1
We study deformation of tube algebra under twisting of graded monoidal categories. When a tensor category is graded over a group , a torus-valued 3-cocycle on …
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…