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The Quarterly Journal of Mathematics 2004 55(3):231-235; doi:10.1093/qmath/hag051
© 2004 by Oxford University Press
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On the Baum–Connes conjecture in the real case

Paul Baum1 and Max Karoubi2

1 Department of Mathematics, Penn State University, University Park, PA 16802, USA 2 UFR de Mathématiques, Université Paris 7, 2 place Jussieu, 75251 Paris cedex 05, France

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

Received 15 September 2003.


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