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

Jacek Brodzki; Erik Guentner; Nigel Higson; Shintaro Nishikawa

doi:10.1093/imrn/rnaa059

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

Jacek Brodzki, Erik Guentner, Nigel Higson, Shintaro Nishikawa

Research output: Contribution to journal › Article › peer-review

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 1st three authors and the direct splitting method in Kasparov theory developed by the last author.

Original language	English (US)
Pages (from-to)	3698-3728
Number of pages	31
Journal	International Mathematics Research Notices
Volume	2021
Issue number	5
DOIs	https://doi.org/10.1093/imrn/rnaa059
State	Published - Mar 1 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnaa059

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

Abstract

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