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arXiv · 1208.4543

The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space

Xiaoman Chen·Qin Wang·Guoliang Yu
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Abstract

We introduce a notion of fibred coarse embedding into Hilbert space for metric spaces, which is a generalization of Gromov's notion of coarse embedding into Hilbert space. It turns out that a large class of expander graphs admit such an embedding. We show that the maximal coarse Baum-Connes conjecture holds for metric spaces with bounded geometry which admit a fibred coarse embedding into Hilbert space.

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BibTeXRIS

Xiaoman Chen, Qin Wang, Guoliang Yu. 2012-08-22. The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space. https://arxiv.org/abs/1208.4543

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