Kaygun, AtabeySütlü, Serkan Selçuk2018-06-202018-06-202017-09Kaygun, A. & Sütlü, S. S. (2017). A characteristic map for compact quantum groups. Journal of Homotopy and Related Structures, 12(3), 549-576. doi:10.1007/s40062-016-0138-y2193-84071512-2891https://hdl.handle.net/11729/1312http://dx.doi.org/10.1007/s40062-016-0138-yWe show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra U-q(g) to the twisted cyclic cohomology of quantum group algebra O(G(q)). We also show that the Schmudgen-Wagner index cocycle associated with the volume form of the differential calculus on the standard Podles sphere O(S-q(2)) is in the image of this map.eninfo:eu-repo/semantics/closedAccessCompact quantum group algebraCharacteristic mapCyclic cohomologyHopf-cyclic cohomologyCup productsHomologyAlgebrasModulesSpheresTheoremArticle123549576Q4WOS:0004087005000022-s2.0-8502860495910.1007/s40062-016-0138-yQ2