On Kazhdan's Property (T) for the special linear group of holomorphic functions

Björn Ivarsson, Frank Kutzschebauch

We investigate when the group $S{L}_n(\mathcal{O}(X))$ of holomorphic maps from a Stein space $X$ to $SL_n (\C)$ has Kazhdan's property (T) for $n\ge 3$. This provides a new class of…