Hopf-dihedral (co)homology and LL-theory

  • Atabey Kaygun

    Istanbul Technical University, Turkey
  • Serkan Sütlü

    Işık University, Istanbul, Turkey
Hopf-dihedral (co)homology and $L$-theory cover
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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 LL-theory classes of a \ast-algebra that carry a Hopf symmetry over a Hopf \ast-algebra. Using our machinery we detect a previously unknown LL-class of the standard Podleś sphere.

Cite this article

Atabey Kaygun, Serkan Sütlü, Hopf-dihedral (co)homology and LL-theory. J. Noncommut. Geom. 12 (2018), no. 1, pp. 69–106

DOI 10.4171/JNCG/271