Finitely summable Fredholm modules over higher rank groups and lattices

2008/06/17 by Puschnigg, Michael · 1 citation
#19K35 #22E40 #22E41 #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0806.2759

Abstract

We give a complete classification (up to smooth homotopy) of finitely summable Fredholm representations (Fredholm modules) over higher rank groups and lattices. Our results are a direct consequence of work of Bader, Furman, Gelander and Monod on generalisations of Kazhdan's property T for locally compact groups.

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• Sharp mapping properties of Poisson transforms and the Baum-Connes conjecture

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