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math.OA2003
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…
math.OA2001
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…
math.OA2000
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…