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Various aspects of Morita theory of deformed algebras and in particular of star product algebras on general Poisson manifolds are discussed. We relate the three flavours ring-heoretic Morita equivalen...
In this article the methods of canonical analysis and quantization that were reviewed in the first part of the series are applied to the case of the Dirac field in the presence of electromagnetic inte...
We construct a non-formal deformation quantization of the Heisenberg supergroup. The deformed star product provides a Universal Deformation Formula, namely it deforms the algebras on which the Heisenb...
We develop the analogue of the Witt construction in characteristic one. We construct a functor from pairs (R, ) of a perfect semi-ring R of characteristic one and an element  > 1 of R to real Banach...
We generalize the notion of trace to the Kontsevich quantization algebra and show that for all Poisson manifolds representable by quotients of a symplectic manifold by a Hamiltonian action of a nilpo...
A quantum integrable model is considered which describes a quantization of affine hyper-elliptic Jacobian. This model is shown to possess the property of duality: a dual model with inverse Planck cons...

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