Hopf-dihedral (co)homology and \(L\)-theory

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 *-a...

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Veröffentlicht in:arXiv.org 2015-11
Hauptverfasser: Kaygun, A, Sütlü, S
Format: Artikel
Sprache:eng
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Zusammenfassung: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 Podleś sphere.
ISSN:2331-8422
DOI:10.48550/arxiv.1511.08937