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A higher index on finite-volume locally symmetric spaces

A higher index on finite-volume locally symmetric spaces

Let $G$ be a connected, real semisimple Lie group. Let $K<G$ be maximal compact, and let $\Gamma < G$ be discrete and such that $\Gamma \backslash G$ has finite volume. If the real rank of $G$ is $1$ and $\Gamma$ is torsion-free, then Barbasch and Moscovici obtained an index theorem …