5 papers
Dilation of a class of quantum dynamical semigroups with unbounded generator on UHF algebras
Debashish Goswami, Lingaraj Sahu, Kalyan B. Sinha
Evans-Hudson flows are constructed for a class of quantum dynamical semigroups with unbounded generator on UHF algebras, which appeared in \cite{Ma}. It is shown that these flows a…
Stochastic Dilation of Symmetric Completely Positive Semigroups
Debashish Goswami, Kalyan B. Sinha
This is a continuation of the study of the theory of quantum stochastic dilation of completely positive semigroups on a von Neumann or algebra, here with unbounded generators…
Geometry on the Quantum Heisenberg Manifold
Partha Sarathi Chakraborty, Kalyan B. Sinha
For the quantum Heisenberg manifolds, using the action of Heisenberg group we construct a family of spectral triples. It is shown that associated Kasparov module is same for all th…
Probability and Geometry on some Noncommutative Manifolds
Partha Sarathi Chakraborty, Debashish Goswami, Kalyan B. Sinha
In a noncommutative torus, effect of perturbation by inner derivation on the associated quantum stochastic process and geometric parameters like volume and scalar curvature have be…
Spectra of Anderson type models with decaying randomness
M. Krishna, K. B. Sinha
In this paper we consider some Anderson type models, with decaying randomness and the free parts having long range tails. The randomness may decay at different rates in different d…