Hecke modules for arithmetic groups via bivariant K-theory

Bram Mesland, Mehmet Haluk Sengun

Let $\Gamma$ be a lattice in a locally compact group $G$. In earlier work, we used $KK$-theory to equip the $K$-groups of any $\Gamma$-$C^{\ast }$-algebra on which the commensurator of $\Gamma$ acts…