Morita Theory in Deformation Quantization

Details Morita Theory in Deformation Quantization Morita Theory in Deformation Quantization

2010-12-21

arxiv.org/abs/1012.4698v1

Mathematics

Quantum Algebra

Dedicated to the memory of Nikolai Neumaier. 15 pages. Contribution to the proceedings of the Poisson 2010 conference

Scientific paper

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-theoretic Morita equivalence, $^*$-Morita equivalence, and strong Morita equivalence and exemplify their properties for star product algebras. The complete classification of Morita equivalent star products on general Poisson manifolds is discussed as well as the complete classification of covariantly Morita equivalent star products on a symplectic manifold with respect to some Lie algebra action preserving a connection.

Affiliated with

Also associated with

No associations

Rating

Morita Theory in Deformation Quantization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Morita Theory in Deformation Quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Morita Theory in Deformation Quantization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96297