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Hopf-dihedral (co)homology and $L$-theory
We develop an appropriate dihedral extension of the Connes–Moscovici characteristic map for Hopf \ast -algebras. We then observe that one can use this extension together with the dihedral Chern character to detect non-trivial L -theory classes of a \ast -algebra that carry a Hopf symmetry over a Hopf \ast -algebra. …