Hopf-dihedral (co)homology and L-theory
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CitationKaygun, A. & Sütlü, S. S. (2018). Hopf-dihedral (co)homology and L-theory. Journal of Noncommutative Geometry, 12(1), 69-106. doi:10.4171/JNCG/271
We develop an appropriate dihedral extension of the Connes-Moscovici characteristic map for Hopf *-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 *-algebra that carry a Hopf symmetry over a Hopf *-algebra. Using our machinery we detect a previously unknown L-class of the standard Podles sphere.