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Finitely summable Fredholm modules over higher rank groups and lattices

Published online by Cambridge University Press:  23 December 2010

Michael Puschnigg
Michael Puschnigg
Affiliation:
Institut de Mathématiques de Luminy, UMR 6206 du CNRS, Université de la Méditerranée, 163, Avenue de Luminy 13288 Marseille, Cedex 9, France, puschnigg@univmed.fr
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Abstract

We give a 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 generalizations of Kazhdan's property T for locally compact groups.

Keywords

Fredholm moduleSchatten idealbivariant K-theoryProperty (T)uniformly convex Banach spacehigher rank grouprigidity
Type
Research Article
Information
Journal of K-Theory , Volume 8 , Issue 2 , October 2011 , pp. 223 - 239
Copyright
Copyright © ISOPP 2010

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