5 papers
A caricature of dilation theory
B V Rajarama Bhat, Sandipan De, Narayan Rakshit
We present a set-theoretic version of some basic dilation results of operator theory. The results we have considered are Wold decomposition, Halmos dilation, Sz. Nagy dilation, int…
Quantum double inclusions associated to a family of Kac algebra subfactors
Sandipan De
In \cite{Sde2018} we defined the notion of \textit{quantum double inclusion} associated to a finite-index and finite-depth subfactor and studied the quantum double inclusion associ…
From a Kac algebra subfactor to Drinfeld double
Sandipan De
Given a finite-index and finite-depth subfactor, we define the notion of \textit{quantum double inclusion} - a certain unital inclusion of von Neumann algebras constructed from the…
Planar algebras, cabling and the Drinfeld double
Sandipan De, Vijay Kodiyalam
We produce an explicit embedding of the planar algebra of the Drinfeld double of a finite-dimensional, semisimple and cosemisimple Hopf algebra into the two-cabling of the plan…
Note on infinite iterated crossed products of Hopf algebras and the Drinfeld double
Sandipan De, Vijay Kodiyalam
For a finite dimensional Hopf algebra we show that an associated natural inclusion of infinite crossed products is the crossed product by the Drinfeld double, and that this is a ch…