Hopf-dihedral (co)homology and L-theory


Kaygun A., Sutlu S.

JOURNAL OF NONCOMMUTATIVE GEOMETRY, cilt.12, sa.1, ss.69-106, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.4171/jncg/271
  • Dergi Adı: JOURNAL OF NONCOMMUTATIVE GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.69-106
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.