\(L^ 2\)-index theorems on locally symmetric spaces
Let G be a real semisimple Lie group, K a maximal compact subgroup, and \(\Gamma\) a neat arithmetic subgroup. If the \({\mathbb{Q}}\)-rank of G is greater than zero, then \(\Gamma\setminus G/K\) is a noncompact, finite volume, locally symmetric space. The main aim of this paper is to extend the Atiyah-Singer index theorem to an \(L^ 2\)-index theorem in this situation.
scientific article; zbMATH DE number 4137069
scientific article