Debashish Goswami

A stochastic Stinespring Theorem

Abstract. Completely positive Markovian cocycles on a von Neumann algebra, adapted to a Fock filtration, are realised as conjugations of n

Hilbert Modules and Stochastic Dilation of a Quantum Dynamical Semigroup on a von Neumann Algebra

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Quantum stochastic processes and noncommutative geometry

-homomorphic Markovian cocycles. The conjugating processes are affiliated to the algebra, and are governed by quantum stochastic differential equations whose coefficients evolve according to the n

Dilation of a class of quantum dynamical semigroups

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QUANTUM STOCHASTIC DILATION OF SYMMETRIC COVARIANT COMPLETELY POSITIVE SEMIGROUPS WITH UNBOUNDED GENERATOR

-homomorphic process. Some perturbation theory for quantum stochastic flows is developed in order to achieve the above Stinespring decomposition.