A characteristic map for compact quantum groups


Kaygun A., Sutlu S.

JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, vol.12, no.3, pp.549-576, 2017 (SCI-Expanded) identifier identifier

Abstract

We 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.