Hopf Algebra Equivariant Cyclic Cohomology, K-theory and Index Formulas
نویسندگان
چکیده
For an algebra B with an action of a Hopf algebra H we establish the pairing between equivariant cyclic cohomology and equivariant K-theory for B. We then extend this formalism to compact quantum group actions and show that equivariant cyclic cohomology is a target space for the equivariant Chern character of equivariant summable Fredholm modules. We prove an analogue of Julg’s theorem relating equivariantK-theory to ordinaryK-theory of the C∗-algebra crossed product, and characterize equivariant vector bundles on quantum homogeneous spaces.
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