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arXiv · 1908.10485

On the Baum-Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces

Jacek Brodzki·Erik Guentner·Nigel Higson·Shintaro Nishikawa
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Abstract

We give a new proof of the Baum--Connes conjecture with coefficients for any second countable, locally compact topological group that acts properly and cocompactly on a finite-dimensional CAT(0)-cubical space with bounded geometry. The proof uses the Julg-Valette complex of a CAT(0)-cubical space introduced by the first three authors, and the direct splitting method in Kasparov theory developed by the last author.

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Jacek Brodzki, Erik Guentner, Nigel Higson, Shintaro Nishikawa. 2019-08-27. On the Baum-Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces. https://arxiv.org/abs/1908.10485

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