States and representations in deformation quantization

Details States and representations in deformation quantization States and representations in deformation quantization

2004-08-17

arxiv.org/abs/math/0408217v1

Mathematics

Quantum Algebra

51 pages, LaTeX2e, no figures

Scientific paper

10.1142/S0129055X05002297

In this review we discuss various aspects of representation theory in
deformation quantization starting with a detailed introduction to the concepts
of states as positive functionals and the GNS construction. But also Rieffel
induction of representations as well as strong Morita equivalence, the Dirac
monopole and the strong Picard groupoid are discussed.

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