Hopf-dihedral (co)homology and -theory
Atabey Kaygun
Istanbul Technical University, TurkeySerkan Sütlü
Işık University, Istanbul, Turkey
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Abstract
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 -theory classes of a -algebra that carry a Hopf symmetry over a Hopf -algebra. Using our machinery we detect a previously unknown -class of the standard Podleś sphere.
Cite this article
Atabey Kaygun, Serkan Sütlü, Hopf-dihedral (co)homology and -theory. J. Noncommut. Geom. 12 (2018), no. 1, pp. 69–106
DOI 10.4171/JNCG/271