On the Baum-Connes conjecture in the real case

Paul Baum; Max Karoubi

doi:10.1093/qmath/hag051

On the Baum-Connes conjecture in the real case

Paul Baum, Max Karoubi

Mathematics

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

16 Scopus citations

Abstract

Let Γ be a countable discrete group. We prove that if the usual Baum-Connes conjecture is valid for Γ, then the real form of Baum-Connes is also valid for Γ. This is relevant to proving that Baum-Connes implies the stable Gromov-Lawson-Rosenberg conjecture about Riemannian metrics of positive scalar curvature.

Original language	English (US)
Pages (from-to)	231-235
Number of pages	5
Journal	Quarterly Journal of Mathematics
Volume	55
Issue number	3
DOIs	https://doi.org/10.1093/qmath/hag051
State	Published - Sep 2004

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/qmath/hag051

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abstract = "Let Γ be a countable discrete group. We prove that if the usual Baum-Connes conjecture is valid for Γ, then the real form of Baum-Connes is also valid for Γ. This is relevant to proving that Baum-Connes implies the stable Gromov-Lawson-Rosenberg conjecture about Riemannian metrics of positive scalar curvature.",

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AB - Let Γ be a countable discrete group. We prove that if the usual Baum-Connes conjecture is valid for Γ, then the real form of Baum-Connes is also valid for Γ. This is relevant to proving that Baum-Connes implies the stable Gromov-Lawson-Rosenberg conjecture about Riemannian metrics of positive scalar curvature.

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On the Baum-Connes conjecture in the real case

Abstract

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