K-HOMOLOGY CLASS OF THE DIRAC OPERATOR ON A COMPACT QUANTUM GROUP

作者: Sergey Neshveyev , Lars Tuset

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摘要: By a result of Nagy, the C � -algebra continuous func- tions on q-deformation Gq simply connected semisimple com- pact Lie group G is KK-equivalent to C(G). We show that under this equivalence K-homology class Dirac operator Gq, which we constructed in an earlier paper, corresponds classi- cal operator. Along way prove for appropriate choice isomorphisms between completions Uqg and Ug family Drinfeld twists relating deformed classical coproducts can be chosen q.

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