Hopf Algebra Equivariant Cyclic Cohomology, K-theory and Index Formulas |
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Authors: | Sergey Neshveyev and Lars Tuset |
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Institution: | (1) Mathematics Institute, University of Oslo, PB 1053, Blindern, Oslo, 0316, Norway;(2) Faculty of Engineering, Oslo University College, Cort Adelers street 30, Oslo, 0254, Norway |
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Abstract: | For an algebra
with an action of a Hopf algebra
we establish the pairing between equivariant cyclic cohomology and equivariant K-theory for
. 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
equivariant K-theory to ordinary K-theory of the C*-algebra crossed product, and characterize equivariant vector bundles on quantum homogeneous spaces. |
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Keywords: | Chern character cyclic cohomology Hopf algebra |
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