285 citations · 785 across the 59 of their papers we have counts for
10 papers · 1 filter
Rokhlin Property for Group Actions on Hilbert -modules
Santanu Dey, Hiroyuki Osaka, Harsh Trivedi
We introduce Rokhlin properties for certain discrete group actions on -correspondences as well as on Hilbert bimodules and analyze them. It turns out that the group actions on…
KSGNS construction for -maps on S-modules and -families
Santanu Dey, Harsh Trivedi
We introduce S-modules, generalizing the notion of Krein -modules, where a fixed unitary replaces the symmetry of Krein -modules. The representation theory on S-modules i…
-families and CPD-H-extendable families
Santanu Dey, Harsh Trivedi
We introduce, for any set , the concept of -family between two Hilbert -modules over two -algebras, for a given completely positive definite (CPD-) kerne…
Functional Models and Minimal Contractive Liftings
Santanu Dey, Rolf Gohm, Kalpesh J. Haria
Based on a careful analysis of functional models for contractive multi-analytic operators we establish a one-to-one correspondence between unitary equivalence classes of minimal co…
Generalized repeated interaction model and transfer functions
Santanu Dey, Kalpesh J. Haria
Using a scheme involving a lifting of a row contraction we introduce a toy model of repeated interactions between quantum systems. In this model there is an outgoing Cuntz scatteri…
Characteristic Functions, Liftings and Modules
Santanu Dey
We review how some multianalytic inner functions of the Beurling type theorem are associated to row contractions following works of G.Popescu. Motivated by a result on weak Markov…