"Theme of the Lecture: There is a general construction for Hopf algebras
HC*(\H)-- Character map (\tau)--> HC*(\A) for algebras which accounts for many geometric constructions of cyclic cocycles. Roughly speaking, to prove an index theorem is to identify an index cocycle with an explicit Hopf cocycle (say at the level of cohomology)." There follows a review of Cyclic Theory with examples of cyclic cocycles; The homology of \g with complex coefficients is computed from the ‘Chevalley--Eilenberg’ complex.
