C*-algebra of a differential groupoid

• Autorzy: Piotr Stachura
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2000
• Tom: 51
• Numer: 1
• Strony: 263-281

Daty

wydano

2000

Twórcy

autor

Piotr Stachura

• Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Hoża 74, 00-682 Warszawa, Poland

Bibliografia

• [1] O. Bratteli and D. W. Robinson, Operator algebras and quantum statistical mechanics. I, Springer, Berlin, 1981.
• [2] A. Connes, Noncommutative Geometry, Academic Press, San Diego, 1994.
• [3] J.-H. Lu and A. Weinstein, Poisson Lie Groups, dressing transformations and Bruhat decompositions, J. Diff. Geom. 31 (1990), 501-526.
• [4] K. Mackenzie, Lie Groupoids and Lie Algebroids in Differential Geometry, LMS Lecture Note Series 124, Cambridge Univ. Press, 1987.
• [5] T. Masuda, Y. Nakagami and S. L. Woronowicz, A C*-algebraic framework for the quantum groups, to appear.
• [6] J. Renault, A groupoid approach to C*-algebras, Lecture Notes in Math. 793 (1980).
• [7] A. Weinstein, Geometric Models for Noncommutative Algebras, Lecture Notes in Math. 227, preliminary version.
• [8] S. L. Woronowicz, Unbounded Elements Affiliated with C*-Algebras and Non-Compact Quantum Groups, Comm. Math. Phys. 136 (1991), 399-432.
• [9] S. L. Woronowicz, From Multiplicative Unitaries to Quantum Groups, Int. Journal of Math. 7, No.1 (1996), 127-149.
• [10] S. L. Woronowicz, Pseudospaces, pseudogroups and Pontriyagin duality, Proc. of the International Conference on Math. Phys., Lausanne 1979, Lecture Notes in Math. 116.
• [11] S. Zakrzewski, Quantum and classical pseudogroups I, Comm. Math. Phys. 134 (1990), 347-370.
• [12] S. Zakrzewski, Quantum and classical pseudogroups II, Comm. Math. Phys. 134 (1990), 371-395.