A New Cyclic Module for Hopf Algebras

Details A New Cyclic Module for Hopf Algebras A New Cyclic Module for Hopf Algebras

2000-10-15

arxiv.org/abs/math/0010153v3

Mathematics

K-Theory and Homology

Minor revision. Statement of Theorem 5.2 corrected. Final version to appear in K-Theory

Scientific paper

We define a new cyclic module, dual to the Connes-Moscovici cyclic module,
for Hopf algebras, and give a characteristric map for the coaction of Hopf
algebras. We also compute the resulting cyclic homology for cocommutative Hopf
algebras, and some quantum groups.

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