Invariance and the twisted Chern character : a case study

2007/04/02 by Debashish Goswami, Goswami, Debashish
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic and Geometric Analysis #Quantum Mechanics and Applications #math.KT #math.QA

paper · pdf · doi:10.48550/arxiv.0704.0111

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

arxiv created 2007/04/02 · arxiv updated 2009/12/01

Abstract

We give details of the proof of the remark made in \citeG2 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 \citeG2 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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