Corpus ID: 237605277

The strongly quasi-local coarse Novikov conjecture and Banach spaces with Property (H)

@inproceedings{Chen2021TheSQ,
  title={The strongly quasi-local coarse Novikov conjecture and Banach spaces with Property (H)},
  author={Xiaoman Chen and Kun Gao and Jiawen Zhang},
  year={2021}
}
In this paper, we introduce a strongly quasi-local version of the coarse Novikov conjecture, which states that certain assembly map from the coarse Khomology 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), introduced by Kasparov and Yu. Besides, we also generalise the notion of strong quasi-locality to proper metric… Expand

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