Rieffel's deformation quantization and isospectral deformations

International Journal of Theoretical Physics

Volumn 40, Issue 10, 2001, Pages 1693-1696

  Sitarz, Andrzej ^a  

^a UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044529934     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011956229254     Document Type: Article

References (12)

1. Connes, A. (2000). Noncommutative Geometry Year 2000. arXiv:math. QA/0011193.
2. Connes, A. and Landi, G. (2000). Noncommutative manifolds, the instanton algebra and isospectral deformations. arXiv:math. QA/0011194.
3. Connes, A. and Dubois-Violette, M. Noncommutative finite-dimensional manifolds I. Spherical manifolds and related examples arXiv:math. QA/0107070.
4. Grossman, A., Loupias, G., and Stein, E. M. (1969). An algebra of pseudodifferential operators and quantum mechanics in phase space, Ann. Inst. Fourier 18(2), 343-368.
5. Kulish, P. P. and Murdov, A. I. (1999). Twist-like geometries on a quantum Minkowski space. Tr. Mat. Inst. Steklova 226, Mat. Fiz. Probl. Kvantovoi Teor. Polya. 97-111. On the occasion of the 65th birthday of Academician Lyudvig Dmitrievich Faddeev.
6. Paschke, M. and Sitarz, A. (2000). The geometry of noncommutative symmetries. Acta Physica Polonica B 31(11), 1897-1911.
7. d, Vol. 506, AMS, Providence. Memoirs AMS.
8. Rieffel, M. (1994). Quantization and C* Algebras. In C* Algebras, 1943-1993, Contemporary Mathematics 167, R. E. Dolan, ed., AMS, Providence.
9. Rieffel, M. (1995). Non-compact quantum groups associated with Abelian subgroups. Communications in Mathematical Physics 171, 181.
10. d, Vol. 506, AMS, Providence. Memoirs AMS.
11. Sitarz, A. (2001). Twists and spectral triples for isospectral deformations. arXiv:math. QA/0102074.
12. Várilly, J. C. (2001). Quantum symmetry groups of noncommutative spheres. arXiv: math. QA/0102065.