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- W2159936881 abstract "In this paper we consider $ Gamma to tilde M to M $ a Galois covering with boundary and $ not tilde D $ , $ Gamma $ -invariant generalized Dirac operator on $ tilde M $ . We assume that the group $ Gamma $ is of polynomial growth with respect to a word metric. By employing the notion of noncommutative spectral section associated to the boundary operator $ not tilde D_0 $ and the b-calculus on Galois coverings with boundary, we develop a higher Atiyah-Patodi-Singer index theory. Our main theorem extends to such $ Gamma $ -Galois coverings with boundary the higher index theorem of Connes-Moscovici." @default.
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- W2159936881 date "1998-02-01" @default.
- W2159936881 modified "2023-10-16" @default.
- W2159936881 title "Spectral Sections and Higher Atiyah-Patodi-Singer Index Theory on Galois Coverings" @default.
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- W2159936881 doi "https://doi.org/10.1007/s000390050047" @default.
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