A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings

Alexander Gorokhovsky, Hitoshi Moriyoshi, Paolo Piazza

Let $\Gamma$ be a finitely generated discrete group satisfying the rapid decay condition. We give a new proof of the higher Atiyah-Patodi-Singer theorem on a Galois $\Gamma$-coverings, thus…