Hopf algebra equivariant cyclic homology and cyclic homology of crossed product algebras

Journal fur die Reine und Angewandte Mathematik

Volumn , Issue 559, 2003, Pages 137-152

  Akbarpour, R ^a   Khalkhali, M ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037863069     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.2003.046     Document Type: Article

References (14)

1. R. Akbarpour, M. Khalkhali, Equivariant cyclic cohomolqgy of Hopf module algebras, Math.KT/0009236 (2000).
2. R. Akbarpour, M. Khalkhali, Hopf algebra equivariant cyclic homology and cyclic homology of crossed product algebras, Math.KT/0011248 v2 (2001).
3. J. L. Brylinski, Cyclic homology and equivariant theories, Ann. Inst. Fourier 37 (1987), 15-28.
4. D. Burghelea, The cyclic homology of the group rings, Comment. Math. Helv. 60, No. 3 (1985), 354-365.
5. A. Connes, Noncommutative Geometry, Academic Press, 1994.
6. B. L. Feigin, B. L. Tsygan, Additive K-theory, K-Theory, Arithmetic and Geometry, Lect. Notes Math. 1289 (1986), 67-209.
7. E. Getzler, J. D. S. Jones, The cyclic homology of crossed product algebras, J. reine angew. Math. 445 (1993), 163-174.
8. J. L. Loday, Cyclic Homology, Springer-Verlag, 1992.
9. S. Majid, Foundations of Quantum Group Theory, Cambridge University Press, 1995.
10. T. Masuda, Dualité pour le produit croisé différentiel et sa cohomologie cyclique périodique, C. R. Acad. Sci. Paris Sér. I Math. 301, no. 11 (1985), 551-553.
11. S. Montgomery, Hopf algebras and their actions on rings, CBMS Reg. Conf. Ser. Math. 82 (1993).
12. V. Nistor, Group homology and the cyclic homology of crossed products, Invent. Math. 99 (1989), 411-424.
13. M. E. Sweedler, Hopf Algebras, Benjamin, New York 1969.
14. C. Weibel, An introduction to homological algebra, Cambridge University Press, 1994.