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- W4387544147 abstract "In this paper, we introduce a strongly quasi-local version of the coarse Novikov conjecture, which states that a certain assembly map from the coarse K-homology of a metric space to the K-theory of its strongly quasi-local algebra is injective. We prove that the conjecture holds for metric spaces with bounded geometry which can be coarsely embedded into Banach spaces with Property (H), as introduced by Kasparov and Yu. We also generalize the notion of strong quasi-locality to proper metric spaces and provide a (strongly) quasi-local picture for K-homology." @default.
- W4387544147 created "2023-10-12" @default.
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- W4387544147 date "2023-01-01" @default.
- W4387544147 modified "2023-10-12" @default.
- W4387544147 title "The strongly quasi-local coarse Novikov conjecture and Banach spaces with Property (H)" @default.
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- W4387544147 doi "https://doi.org/10.1215/21562261-2023-0010" @default.
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