Invariance and the twisted Chern character : a case study

Details Invariance and the twisted Chern character : a case study Invariance and the twisted Chern character : a case study

2007-04-02

arxiv.org/abs/0704.0111v1

Mathematics

Quantum Algebra

to appear in the proceedings of the conference `Traces in Geometry, Number Theory and Quantum Fields' held in MPI (Bonn), 2005

Scientific paper

We give details of the proof of the remark made in \cite{G2} that the Chern characters of the canonical generators on the K homology of the quantum group $SU_q(2)$ are not invariant under the natural $SU_q(2)$ coaction. Furthermore, the conjecture made in \cite{G2} about the nontriviality of the twisted Chern character coming from an odd equivariant spectral triple on $SU_q(2)$ is settled in the affirmative.

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