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- W2963179976 abstract "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 providing an explicit formula for the higher index associated to a group cocycle $cin Z^k (Gamma;mathbb{C})$ which is of polynomial growth with respect to a word-metric. Our new proof employs relative K-theory and relative cyclic cohomology in an essential way." @default.
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- W2963179976 date "2016-01-01" @default.
- W2963179976 modified "2023-09-25" @default.
- W2963179976 title "A note on the higher Atiyah–Patodi–Singer index theorem on Galois coverings" @default.
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- W2963179976 doi "https://doi.org/10.4171/jncg/234" @default.
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