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Deformation quantization for actions of $R^{d}$

About this Title

Marc A. Rieffel

Publication: Memoirs of the American Mathematical Society
Publication Year: 1993; Volume 106, Number 506
ISBNs: 978-0-8218-2575-4 (print); 978-1-4704-0083-5 (online)
DOI: https://doi.org/10.1090/memo/0506
MathSciNet review: 1184061
MSC: Primary 46L87; Secondary 58B30, 81R50, 81S10

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Table of Contents

Chapters

• 1. Oscillatory integrals
• 2. The deformed product
• 3. Function algebras
• 4. The algebra of bounded operators
• 5. Functoriality for the operator norm
• 6. Norms of deformed deformations
• 7. Smooth vectors, and exactness
• 8. Continuous fields
• 9. Strict deformation quantization
• 10. Old examples
• 11. The quantum Euclidean closed disk and quantum quadrant
• 12. The algebraists quantum plane, and quantum groups