Hopf-dihedral (co)homology and L-theory

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Tarih

2018-03-23

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

European Mathematical Soc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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.

Açıklama

Anahtar Kelimeler

Hopf *-algebras, L-theory, Chern character, Hopf-dihedral cohomology, Q-jacobi polynomials, Cyclic homology, Cohomology, Algebras, Spheres

Kaynak

Journal Of Noncommutative Geometry

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

12

Sayı

1

Künye

Kaygun, A. & Sütlü, S. S. (2018). Hopf-dihedral (co)homology and L-theory. Journal of Noncommutative Geometry, 12(1), 69-106. doi:10.4171/JNCG/271