Orderings and Non-formal Deformation Quantization
โ Scribed by Hideki Omori; Yoshiaki Maeda; Naoya Miyazaki; Akira Yoshioka
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 215 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we consider algebras with involution over a ring C which is given by the quadratic extension by i of an ordered ring R. We discuss the \* -representation theory of such \* -algebras on pre-Hilbert spaces over C and develop the notions of Rieffel induction and formal Morita equivalence
We construct families of non-commuting \(\mathbb{C}^{*}\)-algebras of "quantized functions" for bounded irreducible Hermitian symmetric spaces. For this procedure, we use algebras of Toeplitz operators defined with respect to a perturbation of the ordinary Bergman metric. We prove the deformation qu