Hopf-dihedral (co)homology and $L$-theory
Copyright policy )Hopf-dihedral (co)homology and $L$-theory
We develop an appropriate dihedral extension of the Connes–Moscovici characteristic map for Hopf \ast -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 \ast -algebra that carry a Hopf symmetry over a Hopf \ast -algebra. Using our machinery we detect a previously unknown L -class of the standard Podleś sphere.
- ISIK UNIVERSITY Turkey
- Işık University Turkey
- Istanbul Technical University Turkey
Hopf *-algebras, Spheres, Q-jacobi polynomials, 16E40, 18F25, 16T05, K-Theory and Homology (math.KT), Algebras, Hopf-dihedral cohomology, Chern character, Cohomology, L-theory, Cyclic homology, Mathematics - K-Theory and Homology, FOS: Mathematics
Hopf *-algebras, Spheres, Q-jacobi polynomials, 16E40, 18F25, 16T05, K-Theory and Homology (math.KT), Algebras, Hopf-dihedral cohomology, Chern character, Cohomology, L-theory, Cyclic homology, Mathematics - K-Theory and Homology, FOS: Mathematics
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