A characteristic map for compact quantum groups

作者:Kaygun Atabey; Sutlu Serkan*
来源:Journal of Homotopy and Related Structures, 2017, 12(3): 549-576.
DOI:10.1007/s40062-016-0138-y

摘要

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.

  • 出版日期2017-9

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