84
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Bivariant Hopf Cyclic Cohomology

&
Pages 2513-2537 | Received 01 Nov 2008, Published online: 17 Jun 2010

REFERENCES

  • Connes , A. ( 1983 ). Cohomologie cyclique et foncteurs Ext n . C. R. Acad. Sci. Paris Sér. I Math. 296 ( 23 ): 953 – 958 .
  • Connes , A. ( 1986 ). Noncommutative differential geometry . Inst. Hautes Études Sci. Publ. Math. ( 62 ): 257 – 360 .
  • Connes , A. ( 1994 ). Noncommutative Geometry . Academic Press Inc. Avaliable at http://alainconnes.org/docs/book94bigpdf.pdf. Accessed May 13, 2010 .
  • Connes , A. , Moscovici , H. ( 1998 ). Hopf algebras, cyclic cohomology and transverse index theorem . Comm. Math. Phys. 198 : 199 – 246 .
  • Connes , A. , Moscovici , H. ( 1999 ). Cyclic cohomology and Hopf algebras . Lett. Math. Phys. 48 ( 1 ): 97 – 108 . Moshé Flato (1937–1998) .
  • Connes , A. , Moscovici , H. ( 2000 ). Cyclic cohomology and Hopf algebra symmetry . Lett. Math. Phys. 52 ( 1 ): 1 – 28 .
  • Cuntz , J. ( 2005 ). Bivariant K- and cyclic theories . In: Handbook of K-theory . Vols. 1 , 2. Berlin : Springer , pp. 655 – 702 .
  • Hajac , P. M. , Khalkhali , M. , Rangipour , B. , Sommerhäuser , Y. ( 2004 ). Hopf-cyclic homology and cohomology with coefficients . C. R. Math. Acad. Sci. Paris 338 ( 9 ): 667 – 672 .
  • Hajac , P. M. , Khalkhali , M. , Rangipour , B. , Sommerhäuser , Y. ( 2004 ). Stable anti-Yetter–Drinfeld modules . C. R. Math Acad. Sci. Paris 338 ( 8 ): 587 – 590 .
  • Jones , J. D. S. , Kassel , C. ( 1989 ). Bivariant cyclic theory . K-Theory 3 ( 4 ): 339 – 365 .
  • Kaygun , A. ( 2005 ). Bialgebra cyclic homology with coefficients . K-Theory 34 ( 2 ): 151 – 194 .
  • Khalkhali , M. , Rangipour , B. ( 2002 ). A new cyclic module for Hopf algebras . K-Theory 27 ( 2 ): 111 – 131 .
  • Khalkhali , M. , Rangipour , B. ( 2005 ). A note on cyclic duality and Hopf algebras . Comm. Algebra 33 : 763 – 773 .
  • Loday , J.-L. ( 1998 ). Cyclic Homology. Volume 301 of Die Grundlehren der Mathematischen Wissenschaften. , 2nd ed. Berlin : Springer-Verlag .
  • McCarthy , R. ( 1994 ). The cyclic homology of an exact category . J. Pure Appl. Algebra 93 ( 3 ): 251 – 296 .
  • Nistor , V. ( 1993 ). A bivariant Chern–Connes character . Ann. Math. ( 2 ) 138 ( 3 ): 555 – 590 .
  • Voigt , C. (2009). Chern character for totally disconnected groups. Math. Ann. 343(3):507–540.
  • Voigt , C. ( 2008 ). Equivariant cyclic homology for quantum groups . In K-Theory and Noncommutative Geometry . EMS Series of Congress Reports, European Mathematical Society Publishing House , pp. 151 – 180 .
  • Watts , C. E. ( 1960 ). Intrinsic characterizations of some additive functors . Proc. Amer. Math. Soc. 11 : 5 – 8 .
  • Communicated by C. Cibils.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.