English

Invariance and the twisted Chern character : a case study

Quantum Algebra 2007-05-23 v1 K-Theory and Homology

Abstract

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 SUq(2)SU_q(2) are not invariant under the natural SUq(2)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 SUq(2)SU_q(2) is settled in the affirmative.

Keywords

Cite

@article{arxiv.0704.0111,
  title  = {Invariance and the twisted Chern character : a case study},
  author = {Debashish Goswami},
  journal= {arXiv preprint arXiv:0704.0111},
  year   = {2007}
}

Comments

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