For a closed locally symmetric space and a representation we consider the pushforward of the fundamental class in and a related invariant in . We discuss the nontriviality of this invariant and we generalize the construction to cusped locally symmetric spaces of –rank one.
"Locally symmetric spaces and $K$–theory of number fields." Algebr. Geom. Topol. 12 (1) 155 - 213, 2012. https://doi.org/10.2140/agt.2012.12.155