Abstract
We show that one can extend the definition of Hopf cyclic homology with coefficients such that one can use bialgebras and a larger class of coefficient module/co-modules. With the help of this extension, we calculate the bialgebra cyclic homology of U q (g) the quantum deformation of an arbitrary semi-simple Lie algebra and g and H(N) the Hopf algebra of foliations of codimension N, with several coefficient modules.
Original language | English |
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Pages (from-to) | 151-194 |
Number of pages | 44 |
Journal | K-Theory |
Volume | 34 |
Issue number | 2 |
DOIs | |
Publication status | Published - Feb 2005 |
Externally published | Yes |
Keywords
- Cyclic homology
- Foliations
- Hopf algebras
- Quantum groups