Structure and isomorphism classification of compact quantum groups Au(Q) and Bu(Q)

Journal of Operator Theory

Volumn 48, Issue 3 SUPPL., 2002, Pages 573-583

  Wang, Shuzhou ^a  

^a UNIVERSITY OF GEORGIA   (United States)

Author keywords

Compact quantum groups; Free products; Hopf algebras; Universal quantum groups; Woronowicz C* algebras

Indexed keywords

EID: 0036977511     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. T. BǍNICǍ, Théorie des représentations du groupe quantique compact libre O(n), C. R. Acad. Sci. Paris Ser. I Math. 322(1996), 241-244.
2. T. BǍNICǍ, Le groupe quantique compact libre U(n), Comm. Math. Phys. 190(1997), 143-172.
3. A. VAN DAELE, S.Z. WANG, Universal quantum groups, Internat. J. Math 7(1996), 255-264.
4. Y. SOIBELMAN, Algebra of functions on a compact quantum group and its representations, Leningrad Math. J. 2(1990), 161-178.
5. L. VAKSMAN, Y. SOIBELMAN, Algebra of functions on quantum group SU(2), Funct. Anal. Appl. 22(1988), 170-183.
6. S.Z. WANG, Free products of compact quantum groups, Comm. Math. Phys. 167 (1995), 671-692.
7. S.Z. WANG, New classes of compact quantum groups, in Lecture Notes for Talks at the University of Amsterdam and the University of Warsaw, January and March 1995.
8. S.Z. WANG, Tensor products and crossed products of compact quantum groups, Proc. London Math. Soc. 71(1995), 695-720.
9. S.Z. WANG, Problems in the theory of quantum groups, in Quantum Groups and Quantum Spaces, Banach Center Publ., vol. 40, Polish Acad. Sci., 1997, pp. 67-78
10. S.Z. WANG, Quantum symmetry groups of finite spaces, Comm. Math. Phys. 195 (1998), 195-211; math. OA/9807091.
11. q(n), J. London Math. Soc. 59 (1999), 669-680.
12. S.Z. WANG, Ergodic actions of universal quantum groups on operator algebras, Comm. Math. Phys. 203(1999), 481-498; math. OA/9807093.
13. S.L. WORONOWICZ, Compact matrix pseudogroups, Comm. Math. Phys. 111 (1987), 613-665.
14. S.L. WORONOWICZ, Twisted SU(2) group. An example of noncommutative differential calculus, Publ. Res. Inst. Math. Sci. 23(1987), 117-181.
15. S.L. WORONOWICZ, Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups, Invent. Math. 93(1988), 35-76.
16. S.L. WORONOWICZ, A remark on compact matrix quantum groups, Lett. Math. Phys. 21(1991), 35-39.