We give formulas for the Whitehead groups and the rational K-theory groups of the (integral group ring of the) Hilbert modular group in terms of their maximal finite subgroups.
"On the algebraic K-theory of the Hilbert modular group." Algebr. Geom. Topol. 16 (4) 2107 - 2125, 2016. https://doi.org/10.2140/agt.2016.16.2107