Topological dihedral homology of group rings

该项目研究了实版本的拓扑Hochschild同调，实版本的拓扑循环同调，以及通过组装映射进一步研究群环和群环谱的拓扑二面体同调。结合循环和二面体群的具体计算，这导致了对感兴趣的群类的这些函子的显式求值。通过迹映射，我们将研究实代数K-理论的结果。

The project investigates the real versions of topological Hochschild homology, the real version of topological cyclic homology, and furthermore the topological dihedral homology of group rings and group ring spectra via assembly maps. Combined with concrete calculations for cyclic and dihedral groups this leads to explicit evaluations of these functors for interesting classes of groups. Via trace maps consequences for real algebraic K-theory will be investigated.