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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.1511.08937 |