REFERENCES
- Akbarpour , R. , Khalkhali , M. ( 2003 ). Hopf algebra equivariant cyclic homology and cyclic homology of crossed product algebras . J. Reine Angew. Math. 559 : 137 – 152 .
- Akbarpour , R. , Khalkhali , M. ( 2003 ). Equivariant cyclic cohomology of H-algebras . K-Theory 29 : 231 – 252 .
- Böhm , G. , Szlachányi , K. ( 1996 ). A coassociative C*-quantum group with nonintegral dimensions . Lett. Math. Phys. 35 : 437 – 456 .
- Böhm , G. , Nill , F. , Szlachányi , K. ( 1999 ). Weak Hopf algebras I. Integral theory and C*-structure . J. Algebra 221 : 385 – 438 .
- Carboni , G. , Guccione , J. A. , Guccione , J. J. ( 2010 ). Cyclic homology of Hopf crossed products . Adv. Math. 223 ( 3 ): 840 – 872 .
- Caenepeel , S. , Van Oystaeyen , F. , Zhang , Y. ( 1994 ). Quantum Yang–Baxter module algebras . K-Theory 8 : 231 – 255 .
- Connes , A. ( 1985 ). Noncommutative differential geometry . Inst. Hautes Etudes Sci. Publ. Math. 62 : 257 – 360 .
- Connes , A. , Moscovici , H. ( 1995 ). The local index formula in noncommutative geometry . Geomet. Funct. Anal. 5 ( 2 ): 174 – 243 .
- Connes , A. , Moscovici , H. ( 1998 ). Hopf algebras, cyclic cohomology and the transverse index theorem . Comm. Math. Phys. 198 : 199 – 246 .
- Etingof , P. , Nikshych , D. , Ostrik , V. ( 2005 ). On fusion categories . Ann. Math. 162 : 581 – 642 .
- Kadison , L. , Nikshych , D. ( 2001 ). Frobenius extensions and weak Hopf algebra . J. Algebra 244 : 312 – 342 .
- Klimek , S. , Kondracki , W. , Lesniewski , A. ( 1991 ). Equivariant entire cyclic cohomology. I . Finite Groups K-Theory 4 ( 3 ): 201 – 218 .
- Neshveyev , S. , Tuset , L. ( 2004 ). Hopf algebra equivariant cyclic cohomology . K-Theory and Index Formulas K-Theory 31 ( 4 ): 357 – 378 .
- Nikshych , D. ( 2000 ). A duality theorem for quantum groupoids . Contemp. Math. 267 : 237 – 243 .
- Nikshych , D. ( 2002 ). On the structure of weak hopf algebras . Adv. Math. 170 : 257 – 286 .
- Nikshych , D. , Vainerman , L. (2002). Finite quantum groupoids and their applications. Math. Sci. Res. Inst. Publ. 43:211–262.
- Nikshych , D. , Turaev , V. , Vainerman , L. ( 2003 ). Quantum groupoids and invariants of knots and 3-mannifolds . Topol. Appl. 127 : 91 – 123 .
- Sweedler , M. ( 1969 ). Hopf Algebras . New York : Benjamin .
- Zhu , H. X. , Wang , S. H. ( 2010 ). A generalized Drinfeld quantum double construction based on weak Hopf algebras . Comm. Algebra 38 ( 1 ): 199 – 229 .
- Zhou , X. Wang , S. H. ( 2010 ). The duality theorem for weak Hopf algebra (co) actions . Comm. Algebra 38 ( 12 ): 4613 – 4632 .
- Communicated by J. Alev.