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States and Representations in Deformation Quantization

Year: 2005
Type: article
Abstract: 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. Rieffel induction of representations as well as strong Morita equivalence, Dirac monopole and strong Picard Groupoid are also discussed.
Author: STEFAN WALDMANN
Language: English
Open Access status: green
OpenAlex ID: W2024174178
FWCI: 6.383
Cites: 94
Cited by: 43
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